GCF and LCM Calculator Logo

What is the Least Common Multiple of 27099 and 27108?

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 (LCM) of 27099 and 27108 is 81622188.

LCM(27099,27108) = 81622188

LCM Calculator and
and

Least Common Multiple of 27099 and 27108 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27099 and 27108, than apply into the LCM equation.

GCF(27099,27108) = 9
LCM(27099,27108) = ( 27099 × 27108) / 9
LCM(27099,27108) = 734599692 / 9
LCM(27099,27108) = 81622188

Least Common Multiple (LCM) of 27099 and 27108 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27099 and 27108. First we will calculate the prime factors of 27099 and 27108.

Prime Factorization of 27099

Prime factors of 27099 are 3, 3011. Prime factorization of 27099 in exponential form is:

27099 = 32 × 30111

Prime Factorization of 27108

Prime factors of 27108 are 2, 3, 251. Prime factorization of 27108 in exponential form is:

27108 = 22 × 33 × 2511

Now multiplying the highest exponent prime factors to calculate the LCM of 27099 and 27108.

LCM(27099,27108) = 33 × 30111 × 22 × 2511
LCM(27099,27108) = 81622188