LCM of 528 and 484

What is the LCM of 528 and 484? - The LCM of 528 and 484 is 5808. Follow the step by step instructions on how to find the least common multiple of 528 and 484.

What is the least common multiple of 528 and 484?

How to find the lcm of 528 and 484?

To find the lcm of 528 and 484, we first need to find the multiples of 528 and 484 and then choose the least common multiple that are dividable by 528 and 484.

Multiples of 528 = 528, 1056, 1584, 2112, 2640, 3168, 3696, 4224, 4752, 5280, 5808
Multiples of 484 = 484, 968, 1452, 1936, 2420, 2904, 3388, 3872, 4356, 4840, 5324, 5808

The least common multiple of 528 and 484 is 5808, because 5808 is the smallest number that is divisible by both 528 and 484.

Another method to find the least common multiple of 528 and 484 is by using the prime factorization method.
To use prime factorization, we first need to find the prime factors of 528 and 484, and then get the LCM by multiplying the prime factors that are rasied to their highest power from the two sets.

Prime factorization of 528 = 2 x 2 x 2 x 2 x 3 x 11 = 2⁴ x 3 x 11
Prime factorization of 484 = 2 x 2 x 11 x 11 = 2² x 11²
Prime factors to the highest power = 11² x 2⁴ x 3 = 5808