What is the Least Common Multiple of 10605 and 10617?

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 10605 and 10617 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10605 and 10617, than apply into the LCM equation.

GCF(10605,10617) = 3
LCM(10605,10617) = ( 10605 × 10617) / 3
LCM(10605,10617) = 112593285 / 3
LCM(10605,10617) = 37531095

Least Common Multiple (LCM) of 10605 and 10617 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10605 and 10617. First we will calculate the prime factors of 10605 and 10617.

Prime Factorization of 10605

Prime Factorization of 10617

Now multiplying the highest exponent prime factors to calculate the LCM of 10605 and 10617.

LCM(10605,10617) = 3¹ × 5¹ × 7¹ × 101¹ × 3539¹
LCM(10605,10617) = 37531095