GCF and LCM Calculator Logo

What is the Least Common Multiple of 27590 and 27595?

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 27590 and 27595 is 152269210.

LCM(27590,27595) = 152269210

LCM Calculator and
and

Least Common Multiple of 27590 and 27595 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27590 and 27595, than apply into the LCM equation.

GCF(27590,27595) = 5
LCM(27590,27595) = ( 27590 × 27595) / 5
LCM(27590,27595) = 761346050 / 5
LCM(27590,27595) = 152269210

Least Common Multiple (LCM) of 27590 and 27595 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27590 and 27595. First we will calculate the prime factors of 27590 and 27595.

Prime Factorization of 27590

Prime factors of 27590 are 2, 5, 31, 89. Prime factorization of 27590 in exponential form is:

27590 = 21 × 51 × 311 × 891

Prime Factorization of 27595

Prime factors of 27595 are 5, 5519. Prime factorization of 27595 in exponential form is:

27595 = 51 × 55191

Now multiplying the highest exponent prime factors to calculate the LCM of 27590 and 27595.

LCM(27590,27595) = 21 × 51 × 311 × 891 × 55191
LCM(27590,27595) = 152269210