What is the Least Common Multiple of 64512 and 64528?

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 64512 and 64528 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64512 and 64528, than apply into the LCM equation.

GCF(64512,64528) = 16
LCM(64512,64528) = ( 64512 × 64528) / 16
LCM(64512,64528) = 4162830336 / 16
LCM(64512,64528) = 260176896

Least Common Multiple (LCM) of 64512 and 64528 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64512 and 64528. First we will calculate the prime factors of 64512 and 64528.

Prime Factorization of 64512

Prime Factorization of 64528

Now multiplying the highest exponent prime factors to calculate the LCM of 64512 and 64528.

LCM(64512,64528) = 2¹⁰ × 3² × 7¹ × 37¹ × 109¹
LCM(64512,64528) = 260176896