What is the Least Common Multiple of 55596 and 55612?

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 55596 and 55612 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55596 and 55612, than apply into the LCM equation.

GCF(55596,55612) = 4
LCM(55596,55612) = ( 55596 × 55612) / 4
LCM(55596,55612) = 3091804752 / 4
LCM(55596,55612) = 772951188

Least Common Multiple (LCM) of 55596 and 55612 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55596 and 55612. First we will calculate the prime factors of 55596 and 55612.

Prime Factorization of 55596

Prime Factorization of 55612

Now multiplying the highest exponent prime factors to calculate the LCM of 55596 and 55612.

LCM(55596,55612) = 2² × 3¹ × 41¹ × 113¹ × 13903¹
LCM(55596,55612) = 772951188