What is the Least Common Multiple of 49596 and 49612?

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 49596 and 49612 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49596 and 49612, than apply into the LCM equation.

GCF(49596,49612) = 4
LCM(49596,49612) = ( 49596 × 49612) / 4
LCM(49596,49612) = 2460556752 / 4
LCM(49596,49612) = 615139188

Least Common Multiple (LCM) of 49596 and 49612 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49596 and 49612. First we will calculate the prime factors of 49596 and 49612.

Prime Factorization of 49596

Prime Factorization of 49612

Now multiplying the highest exponent prime factors to calculate the LCM of 49596 and 49612.

LCM(49596,49612) = 2² × 3¹ × 4133¹ × 79¹ × 157¹
LCM(49596,49612) = 615139188