What is the Least Common Multiple of 51114 and 51132?

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 51114 and 51132 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51114 and 51132, than apply into the LCM equation.

GCF(51114,51132) = 6
LCM(51114,51132) = ( 51114 × 51132) / 6
LCM(51114,51132) = 2613561048 / 6
LCM(51114,51132) = 435593508

Least Common Multiple (LCM) of 51114 and 51132 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51114 and 51132. First we will calculate the prime factors of 51114 and 51132.

Prime Factorization of 51114

Prime Factorization of 51132

Now multiplying the highest exponent prime factors to calculate the LCM of 51114 and 51132.

LCM(51114,51132) = 2² × 3¹ × 7¹ × 1217¹ × 4261¹
LCM(51114,51132) = 435593508