What is the Least Common Multiple of 64554 and 64572?

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 64554 and 64572 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64554 and 64572, than apply into the LCM equation.

GCF(64554,64572) = 6
LCM(64554,64572) = ( 64554 × 64572) / 6
LCM(64554,64572) = 4168380888 / 6
LCM(64554,64572) = 694730148

Least Common Multiple (LCM) of 64554 and 64572 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64554 and 64572. First we will calculate the prime factors of 64554 and 64572.

Prime Factorization of 64554

Prime Factorization of 64572

Now multiplying the highest exponent prime factors to calculate the LCM of 64554 and 64572.

LCM(64554,64572) = 2² × 3¹ × 7¹ × 29¹ × 53¹ × 5381¹
LCM(64554,64572) = 694730148