What is the Least Common Multiple of 51144 and 51162?

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 51144 and 51162 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51144 and 51162, than apply into the LCM equation.

GCF(51144,51162) = 6
LCM(51144,51162) = ( 51144 × 51162) / 6
LCM(51144,51162) = 2616629328 / 6
LCM(51144,51162) = 436104888

Least Common Multiple (LCM) of 51144 and 51162 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51144 and 51162. First we will calculate the prime factors of 51144 and 51162.

Prime Factorization of 51144

Prime Factorization of 51162

Now multiplying the highest exponent prime factors to calculate the LCM of 51144 and 51162.

LCM(51144,51162) = 2³ × 3¹ × 2131¹ × 8527¹
LCM(51144,51162) = 436104888