What is the Least Common Multiple of 51132 and 51144?

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 51132 and 51144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51132 and 51144, than apply into the LCM equation.

GCF(51132,51144) = 12
LCM(51132,51144) = ( 51132 × 51144) / 12
LCM(51132,51144) = 2615095008 / 12
LCM(51132,51144) = 217924584

Least Common Multiple (LCM) of 51132 and 51144 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51132 and 51144. First we will calculate the prime factors of 51132 and 51144.

Prime Factorization of 51132

Prime Factorization of 51144

Now multiplying the highest exponent prime factors to calculate the LCM of 51132 and 51144.

LCM(51132,51144) = 2³ × 3¹ × 4261¹ × 2131¹
LCM(51132,51144) = 217924584