What is the Least Common Multiple of 96612 and 96620?

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 96620 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 96620, than apply into the LCM equation.

GCF(96612,96620) = 4
LCM(96612,96620) = ( 96612 × 96620) / 4
LCM(96612,96620) = 9334651440 / 4
LCM(96612,96620) = 2333662860

Least Common Multiple (LCM) of 96612 and 96620 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96612 and 96620. First we will calculate the prime factors of 96612 and 96620.

Prime Factorization of 96612

Prime Factorization of 96620

Now multiplying the highest exponent prime factors to calculate the LCM of 96612 and 96620.

LCM(96612,96620) = 2² × 3¹ × 83¹ × 97¹ × 5¹ × 4831¹
LCM(96612,96620) = 2333662860