What is the Least Common Multiple of 625 and 636?

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 625 and 636 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 625 and 636, than apply into the LCM equation.

GCF(625,636) = 1
LCM(625,636) = ( 625 × 636) / 1
LCM(625,636) = 397500 / 1
LCM(625,636) = 397500

Least Common Multiple (LCM) of 625 and 636 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 625 and 636. First we will calculate the prime factors of 625 and 636.

Prime Factorization of 625

Prime Factorization of 636

Now multiplying the highest exponent prime factors to calculate the LCM of 625 and 636.

LCM(625,636) = 5⁴ × 2² × 3¹ × 53¹
LCM(625,636) = 397500