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296 LearnersLast updated on August 5, 2025
LCM of 25 and 50
The LCM is the least common multiple, a multiple that is lower in value and common in two or more numbers. The LCM of numbers can be used in situations where we have to.
LCM of 25 and 50 Using Listing the Multiples
The listing method finds the lowest multiple that is common to both 25 and 50 from the multiples of 25 and 50
The multiplies of 25 are 25, 50, 75 and so on
The multiples of 50 are 50, 100, 150 and so on.
The LCM of 25 and 50 is 50
LCM of 25 and 50 Using Prime Factorization
To find the LCM, prime factorize 25 and 50
The prime factors of 25 is 5 → 51
The prime factors of 50 is 2, 5 → 2 × 52
The LCM of 25 and 50 is 21 × 52 = 2 × 5 × 5 = 25
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The LCM of 25 and 50 using the Division Method
Write the numbers 25 and 50 in a row
Find the number that can divide both 25 and 50
Continue dividing the numbers until you get 1
To get the LCM, multiply the divisors.
LCM of 25 and 50 = 5 × 5 × 2 = 50
Common Mistakes and How to Avoid Them While finding the LCM of 25 and 50
Given below are the few mistakes that you can commit while trying to find the LCM of 25 and 50. Tips to avoid them are also given:
Mistake 1
Error in listing multiples
If the LCM of 25 and 50 is 50, double-check the multiples of both the numbers.
Multiples of 25 are 50, 75and so on.
Multiplies of 50 are 50, 100, 150 and so on.
If there’s any mistake listing the multiples, then the LCM will be incorrect.
Mistake 2
Finding the HCF instead of the LCM
A child might look for HCF instead of LCM. Know the difference between HCF and LCM.
HCF is the common factors between numbers which are greater in value, and LCM is the common multiple between two numbers with the least value. The HCF of 25 and 50 is 25 and the LCM of 25 and 50 is 50
Mistake 3
Using ‘+’ sign instead of ‘x’ sign while finding the LCM using prime factorization method
LCM of 25 and 50 solved examples
Problem 1
The HCF between 25 and 50 is 5. What will be the LCM of 25 and 50 when prime factorization is used?
The LCM of 25 and 50 using the prime factorization method is 50
Explanation
To find the LCM of 25 and 50 using the prime factorization, list down the prime factors of 25 and 50. From the prime factors of each number, take the prime factor with the highest power, that is 21 and 52. Now multiply these to get 60 as the LCM
Problem 2
The LCM of 25 and b is 50. What is the value of โbโ?
The value of ‘b’ is 50
Explanation
We know that the LCM of (25,b) is 50
According to the LCM formula, LCM(a, b) = a × b/HCF(a, b)
50 = 25 × b/HCF(25,b)
B = 50 x HCF(25,b)/25
b=50
Problem 3
The LCM of a and b is 50 and their HCF is 5, what is the product of a and b?
Answer : 1250
Explanation
LCM(a,b)×HCF(a,b) =a×b
LCM = 50
HCF = 25
50 × 25 = 50 × 25=1250
FAQs on Least Common Multiple of 25 and 50
1.Is multiple of 25 and 50 always the LCM of 25 and 50?
2.Why canโt we say that the LCM of 25 and 50 is not 25?
3.What is the LCM formula using the HCF?
4.Is the LCM of 25 and 50 always a multiple of 25?
Important Glossaries for LCM of 25 and 50
- Multiple: A number and any integer multiplied.
- Prime Factor: A natural number (except 1) that has factors that are one and itself.
- Prime Factorization: The process of breaking down a number into its prime factors is called Prime Factorization.
Hiralee Lalitkumar Makwana
About the Author
Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.
Fun Fact
: She loves to read number jokes and games.
