What is the Least Common Multiple of 66564 and 66579?

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 66579 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 66579, than apply into the LCM equation.

GCF(66564,66579) = 3
LCM(66564,66579) = ( 66564 × 66579) / 3
LCM(66564,66579) = 4431764556 / 3
LCM(66564,66579) = 1477254852

Least Common Multiple (LCM) of 66564 and 66579 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66564 and 66579. First we will calculate the prime factors of 66564 and 66579.

Prime Factorization of 66564

Prime Factorization of 66579

Now multiplying the highest exponent prime factors to calculate the LCM of 66564 and 66579.

LCM(66564,66579) = 2² × 3² × 43² × 22193¹
LCM(66564,66579) = 1477254852