GCF and LCM Calculator Logo

What is the Least Common Multiple of 17615 and 17627?

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 17615 and 17627 is 310499605.

LCM(17615,17627) = 310499605

LCM Calculator and
and

Least Common Multiple of 17615 and 17627 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17615 and 17627, than apply into the LCM equation.

GCF(17615,17627) = 1
LCM(17615,17627) = ( 17615 × 17627) / 1
LCM(17615,17627) = 310499605 / 1
LCM(17615,17627) = 310499605

Least Common Multiple (LCM) of 17615 and 17627 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17615 and 17627. First we will calculate the prime factors of 17615 and 17627.

Prime Factorization of 17615

Prime factors of 17615 are 5, 13, 271. Prime factorization of 17615 in exponential form is:

17615 = 51 × 131 × 2711

Prime Factorization of 17627

Prime factors of 17627 are 17627. Prime factorization of 17627 in exponential form is:

17627 = 176271

Now multiplying the highest exponent prime factors to calculate the LCM of 17615 and 17627.

LCM(17615,17627) = 51 × 131 × 2711 × 176271
LCM(17615,17627) = 310499605