What is the Least Common Multiple of 27564 and 27578?

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 27564 and 27578 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27564 and 27578, than apply into the LCM equation.

GCF(27564,27578) = 2
LCM(27564,27578) = ( 27564 × 27578) / 2
LCM(27564,27578) = 760159992 / 2
LCM(27564,27578) = 380079996

Least Common Multiple (LCM) of 27564 and 27578 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27564 and 27578. First we will calculate the prime factors of 27564 and 27578.

Prime Factorization of 27564

Prime Factorization of 27578

Now multiplying the highest exponent prime factors to calculate the LCM of 27564 and 27578.

LCM(27564,27578) = 2² × 3¹ × 2297¹ × 13789¹
LCM(27564,27578) = 380079996