What is the Least Common Multiple of 76146 and 76166?

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 76146 and 76166 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76146 and 76166, than apply into the LCM equation.

GCF(76146,76166) = 2
LCM(76146,76166) = ( 76146 × 76166) / 2
LCM(76146,76166) = 5799736236 / 2
LCM(76146,76166) = 2899868118

Least Common Multiple (LCM) of 76146 and 76166 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76146 and 76166. First we will calculate the prime factors of 76146 and 76166.

Prime Factorization of 76146

Prime Factorization of 76166

Now multiplying the highest exponent prime factors to calculate the LCM of 76146 and 76166.

LCM(76146,76166) = 2¹ × 3¹ × 7³ × 37¹ × 38083¹
LCM(76146,76166) = 2899868118