What is the Least Common Multiple of 27660 and 27675?

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 27660 and 27675 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27660 and 27675, than apply into the LCM equation.

GCF(27660,27675) = 15
LCM(27660,27675) = ( 27660 × 27675) / 15
LCM(27660,27675) = 765490500 / 15
LCM(27660,27675) = 51032700

Least Common Multiple (LCM) of 27660 and 27675 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27660 and 27675. First we will calculate the prime factors of 27660 and 27675.

Prime Factorization of 27660

Prime Factorization of 27675

Now multiplying the highest exponent prime factors to calculate the LCM of 27660 and 27675.

LCM(27660,27675) = 2² × 3³ × 5² × 461¹ × 41¹
LCM(27660,27675) = 51032700