What is the Least Common Multiple of 64659 and 64675?

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 64659 and 64675 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64659 and 64675, than apply into the LCM equation.

GCF(64659,64675) = 1
LCM(64659,64675) = ( 64659 × 64675) / 1
LCM(64659,64675) = 4181820825 / 1
LCM(64659,64675) = 4181820825

Least Common Multiple (LCM) of 64659 and 64675 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64659 and 64675. First we will calculate the prime factors of 64659 and 64675.

Prime Factorization of 64659

Prime Factorization of 64675

Now multiplying the highest exponent prime factors to calculate the LCM of 64659 and 64675.

LCM(64659,64675) = 3¹ × 7¹ × 3079¹ × 5² × 13¹ × 199¹
LCM(64659,64675) = 4181820825