What is the Least Common Multiple of 66564 and 66568?

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 66564 and 66568 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66564 and 66568, than apply into the LCM equation.

GCF(66564,66568) = 4
LCM(66564,66568) = ( 66564 × 66568) / 4
LCM(66564,66568) = 4431032352 / 4
LCM(66564,66568) = 1107758088

Least Common Multiple (LCM) of 66564 and 66568 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66564 and 66568. First we will calculate the prime factors of 66564 and 66568.

Prime Factorization of 66564

Prime Factorization of 66568

Now multiplying the highest exponent prime factors to calculate the LCM of 66564 and 66568.

LCM(66564,66568) = 2³ × 3² × 43² × 53¹ × 157¹
LCM(66564,66568) = 1107758088