LCM of 260 and 572

What is the LCM of 260 and 572? - The LCM of 260 and 572 is 2860. Follow the step by step instructions on how to find the least common multiple of 260 and 572.

What is the least common multiple of 260 and 572?

How to find the lcm of 260 and 572?

To find the lcm of 260 and 572, we first need to find the multiples of 260 and 572 and then choose the least common multiple that are dividable by 260 and 572.

Multiples of 260 = 260, 520, 780, 1040, 1300, 1560, 1820, 2080, 2340, 2600, 2860
Multiples of 572 = 572, 1144, 1716, 2288, 2860

The least common multiple of 260 and 572 is 2860, because 2860 is the smallest number that is divisible by both 260 and 572.

Another method to find the least common multiple of 260 and 572 is by using the prime factorization method.
To use prime factorization, we first need to find the prime factors of 260 and 572, and then get the LCM by multiplying the prime factors that are rasied to their highest power from the two sets.

Prime factorization of 260 = 2 x 2 x 5 x 13 = 2² x 5 x 13
Prime factorization of 572 = 2 x 2 x 11 x 13 = 2² x 11 x 13
Prime factors to the highest power = 11 x 13 x 2² x 5 = 2860