Last updated on May 26th, 2025
The Least common multiple (LCM) is the smallest number that is divisible by the numbers 2 and 5. The LCM can be found using the listing multiples method, the prime factorization and/or division methods. LCM helps to solve problems with fractions and scenarios like scheduling or aligning repeating cycle of events.
The LCM of 2 and 5 is the smallest positive integer, a multiple of both numbers. By finding the LCM, we can simplify the arithmetic operations with fractions to equate the denominators.
There are various methods to find the LCM, Listing method, prime factorization method and division method are explained below;
The LCM of 2 and 5 can be calculated using the following steps:
Steps:
— Multiples of 2 = 2, 4, 6, 8, 10, 12, 14, …
— Multiples of 5 = 5, 10, 15, 20, 25, …
— The smallest common multiple is 10.
Thus, LCM(2, 5) = 10
The prime factors of each number are written, and then the highest power of the prime factors is multiplied to get the LCM.
Steps:
— Prime factorization of 2 = 2
— Prime factorization of 5 = 5
— Highest power of 2 = 2
— Highest power of 5 = 5
LCM(2, 5) = 2 × 5 = 10.
This method involves dividing the numbers by their common prime factors and multiplying the divisors to obtain the LCM.
Steps:
— Write the numbers, divide by common prime factors and multiply the divisors.
— 2 × 5 = 10
Thus, LCM(2, 5) = 10
Listed below are a few commonly made mistakes while attempting to ascertain the LCM of 2 and 5 make a note while practicing.
The blue tap fills a bucket 2 minutes, and the red tap fills every 5 minutes. How long will it take for both the taps to fill a bucket simultaneously?
The LCM of 2 and 5 is 10.
Both the taps will begin filling simultaneously in 10 minutes. The LCM of 2 and 5 is 10, which represents the smallest time interval between the given digits.
The traffic light on the left side changes every 2 minutes and the light on the right side changes every 5 minutes. If both turn green at the same time, how long will it take until they turn green together?
The LCM of 2 and 5 is 10.
Both the lights will turn green in 10 minutes, the LCM of 2 and 5. The LCM of 2 and 5 is 10, which represents the smallest time interval between the given digits.
Miss. A assigns math homework to 5th graders every 2 days and science homework to 6th graders every 5 days. If both the grades get their homework today, when will they both receive homework on the same day?
The LCM of 2 and 5 is 10
The students will receive homework together again in 10 days. The LCM of 2 and 5 is 10, which represents the smallest time interval between the given digits.
A maintenance schedule for projectors is set up every 2 weeks and 5 weeks at a school. If both the projectors are serviced today, in how many weeks will they be serviced again on the same day?
The LCM of 2 and 5 is 10.
Both projectors will need maintenance again in 10 weeks. The LCM of 2 and 5 is 10, which represents the smallest time interval between the given digits.
Two clocks strike every 2 hours and 5 hours. If both of them strike now, when will they next strike together?
The LCM of 2 and 5 is 10.
Both clocks will chime together again in 10 hours. The LCM of 2 and 5 is 10, which represents the smallest time interval between the given digits.
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.
: She loves to read number jokes and games.