What is the Least Common Multiple of 96612 and 96617?

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 96612 and 96617 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96612 and 96617, than apply into the LCM equation.

GCF(96612,96617) = 1
LCM(96612,96617) = ( 96612 × 96617) / 1
LCM(96612,96617) = 9334361604 / 1
LCM(96612,96617) = 9334361604

Least Common Multiple (LCM) of 96612 and 96617 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96612 and 96617. First we will calculate the prime factors of 96612 and 96617.

Prime Factorization of 96612

Prime Factorization of 96617

Now multiplying the highest exponent prime factors to calculate the LCM of 96612 and 96617.

LCM(96612,96617) = 2² × 3¹ × 83¹ × 97¹ × 79¹ × 1223¹
LCM(96612,96617) = 9334361604