What is the Least Common Multiple of 6612 and 6617?

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 6612 and 6617 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6612 and 6617, than apply into the LCM equation.

GCF(6612,6617) = 1
LCM(6612,6617) = ( 6612 × 6617) / 1
LCM(6612,6617) = 43751604 / 1
LCM(6612,6617) = 43751604

Least Common Multiple (LCM) of 6612 and 6617 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6612 and 6617. First we will calculate the prime factors of 6612 and 6617.

Prime Factorization of 6612

Prime Factorization of 6617

Now multiplying the highest exponent prime factors to calculate the LCM of 6612 and 6617.

LCM(6612,6617) = 2² × 3¹ × 19¹ × 29¹ × 13¹ × 509¹
LCM(6612,6617) = 43751604