What is the Least Common Multiple of 64632 and 64646?

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 64632 and 64646 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64632 and 64646, than apply into the LCM equation.

GCF(64632,64646) = 2
LCM(64632,64646) = ( 64632 × 64646) / 2
LCM(64632,64646) = 4178200272 / 2
LCM(64632,64646) = 2089100136

Least Common Multiple (LCM) of 64632 and 64646 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64632 and 64646. First we will calculate the prime factors of 64632 and 64646.

Prime Factorization of 64632

Prime Factorization of 64646

Now multiplying the highest exponent prime factors to calculate the LCM of 64632 and 64646.

LCM(64632,64646) = 2³ × 3¹ × 2693¹ × 32323¹
LCM(64632,64646) = 2089100136