GCF and LCM Calculator Logo

What is the Least Common Multiple of 27081 and 27088?

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 27081 and 27088 is 733570128.

LCM(27081,27088) = 733570128

LCM Calculator and
and

Least Common Multiple of 27081 and 27088 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27081 and 27088, than apply into the LCM equation.

GCF(27081,27088) = 1
LCM(27081,27088) = ( 27081 × 27088) / 1
LCM(27081,27088) = 733570128 / 1
LCM(27081,27088) = 733570128

Least Common Multiple (LCM) of 27081 and 27088 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27081 and 27088. First we will calculate the prime factors of 27081 and 27088.

Prime Factorization of 27081

Prime factors of 27081 are 3, 17, 59. Prime factorization of 27081 in exponential form is:

27081 = 33 × 171 × 591

Prime Factorization of 27088

Prime factors of 27088 are 2, 1693. Prime factorization of 27088 in exponential form is:

27088 = 24 × 16931

Now multiplying the highest exponent prime factors to calculate the LCM of 27081 and 27088.

LCM(27081,27088) = 33 × 171 × 591 × 24 × 16931
LCM(27081,27088) = 733570128