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141 LearnersLast updated on November 30th, 2024
LCM of 2 and 4
LCM is a common multiple, the smallest value between the numbers 2 and 4. Did you know? We apply LCM unknowingly in everyday situations like setting alarms and to synchronize traffic lights and when making music.
What is the LCM of 2 and 4?
The LCM of 2 and 4 is 4. We can find the LCM using the Listing multiples method, the prime factorization method and the long division method. These are explained below.
LCM of 2 and 4 Using Listing the Multiples
Step 1: Write down the multiples of the numbers. Don’t stop too early.
Multiples of 2 = 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, …
Multiples of 4 = 4,8,12,16,20,…
Step 2: Find the smallest number common between the written multiples of 2 and 4
— The smallest common multiple is 4
Thus, LCM(2,4) = 4
LCM of 2 and 4 Using Prime Factorization
Step 1: — factorize the numbers into its prime factors
2 = 2
4 = 2×2
Step 2: — find the highest powers of the factors of 2 and 4
Step 3 : — Multiply the highest powers
LCM(2,4) = 4
LCM of 2 and 4 Using Division Method
- Write the numbers 2,4 in a row
- Divide them by their common prime factors, if there is one
- Carry forward the numbers that are left undivided by the previously chosen factor
- Continue dividing until the remainder is ‘1’
- Multiply the divisors to find the LCM
- LCM(2,4) = 4
Common Mistakes and how to avoid them while finding the LCM of 2 and 4
LCM of 2 and 4 examples
Problem 1
A takes a water break every 2 hours, and B does so every 4 hours. If they take a break together at noon, when will they take their next break?
Explanation
Problem 2
Verify that the LCM of 2 and 4 is the product of the highest powers of all primes involved in their factorizations.
Explanation
Problem 3
If the LCM of 2 and 4 is multiplied by 150%, what is the result?
Explanation
FAQs on LCM of 2 and 4
1.What is the LCM of 2,4 and 8?
2.What is the HCF of 2 and 4 ?
3.What is the LCM of 3 and 4?
4.What is the LCM of 7 and 5?
5.What is the LCM of 7 and 8?
Important glossaries for the LCM of 2 and 4
- Multiple — product of a number and a natural integer
- Prime factor — number one gets after prime factorization any given number
- Prime factorization — the process of breaking the number into its prime factors.
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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.
