What is the Least Common Multiple of 17610 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 of 17610 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 17610 and 17627, than apply into the LCM equation.

GCF(17610,17627) = 1
LCM(17610,17627) = ( 17610 × 17627) / 1
LCM(17610,17627) = 310411470 / 1
LCM(17610,17627) = 310411470

Least Common Multiple (LCM) of 17610 and 17627 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17610 and 17627. First we will calculate the prime factors of 17610 and 17627.

Prime Factorization of 17610

Prime Factorization of 17627

Now multiplying the highest exponent prime factors to calculate the LCM of 17610 and 17627.

LCM(17610,17627) = 2¹ × 3¹ × 5¹ × 587¹ × 17627¹
LCM(17610,17627) = 310411470