GCF and LCM Calculator Logo

What is the Least Common Multiple of 27015 and 27022?

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 27015 and 27022 is 729999330.

LCM(27015,27022) = 729999330

LCM Calculator and
and

Least Common Multiple of 27015 and 27022 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27015 and 27022, than apply into the LCM equation.

GCF(27015,27022) = 1
LCM(27015,27022) = ( 27015 × 27022) / 1
LCM(27015,27022) = 729999330 / 1
LCM(27015,27022) = 729999330

Least Common Multiple (LCM) of 27015 and 27022 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27015 and 27022. First we will calculate the prime factors of 27015 and 27022.

Prime Factorization of 27015

Prime factors of 27015 are 3, 5, 1801. Prime factorization of 27015 in exponential form is:

27015 = 31 × 51 × 18011

Prime Factorization of 27022

Prime factors of 27022 are 2, 59, 229. Prime factorization of 27022 in exponential form is:

27022 = 21 × 591 × 2291

Now multiplying the highest exponent prime factors to calculate the LCM of 27015 and 27022.

LCM(27015,27022) = 31 × 51 × 18011 × 21 × 591 × 2291
LCM(27015,27022) = 729999330