What is the Least Common Multiple of 65625 and 65635?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 65625 and 65635 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65625 and 65635, than apply into the LCM equation.

GCF(65625,65635) = 5
LCM(65625,65635) = ( 65625 × 65635) / 5
LCM(65625,65635) = 4307296875 / 5
LCM(65625,65635) = 861459375

Least Common Multiple (LCM) of 65625 and 65635 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65625 and 65635. First we will calculate the prime factors of 65625 and 65635.

Prime Factorization of 65625

Prime Factorization of 65635

Now multiplying the highest exponent prime factors to calculate the LCM of 65625 and 65635.

LCM(65625,65635) = 3¹ × 5⁵ × 7¹ × 13127¹
LCM(65625,65635) = 861459375