LCM of 374 and 154

What is the LCM of 374 and 154? - The LCM of 374 and 154 is 2618. Follow the step by step instructions on how to find the least common multiple of 374 and 154.

What is the least common multiple of 374 and 154?

How to find the lcm of 374 and 154?

To find the lcm of 374 and 154, we first need to find the multiples of 374 and 154 and then choose the least common multiple that are dividable by 374 and 154.

Multiples of 374 = 374, 748, 1122, 1496, 1870, 2244, 2618
Multiples of 154 = 154, 308, 462, 616, 770, 924, 1078, 1232, 1386, 1540, 1694, 1848, 2002, 2156, 2310, 2464, 2618

The least common multiple of 374 and 154 is 2618, because 2618 is the smallest number that is divisible by both 374 and 154.

Another method to find the least common multiple of 374 and 154 is by using the prime factorization method.
To use prime factorization, we first need to find the prime factors of 374 and 154, and then get the LCM by multiplying the prime factors that are rasied to their highest power from the two sets.

Prime factorization of 374 = 2 x 11 x 17
Prime factorization of 154 = 2 x 7 x 11
Prime factors to the highest power = 11 x 17 x 2 x 7 = 2618