What is the Least Common Multiple of 17610 and 17628?

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 17628 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 17628, than apply into the LCM equation.

GCF(17610,17628) = 6
LCM(17610,17628) = ( 17610 × 17628) / 6
LCM(17610,17628) = 310429080 / 6
LCM(17610,17628) = 51738180

Least Common Multiple (LCM) of 17610 and 17628 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17610 and 17628. First we will calculate the prime factors of 17610 and 17628.

Prime Factorization of 17610

Prime Factorization of 17628

Now multiplying the highest exponent prime factors to calculate the LCM of 17610 and 17628.

LCM(17610,17628) = 2² × 3¹ × 5¹ × 587¹ × 13¹ × 113¹
LCM(17610,17628) = 51738180