What is the Least Common Multiple of 14664 and 14676?

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 14664 and 14676 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14664 and 14676, than apply into the LCM equation.

GCF(14664,14676) = 12
LCM(14664,14676) = ( 14664 × 14676) / 12
LCM(14664,14676) = 215208864 / 12
LCM(14664,14676) = 17934072

Least Common Multiple (LCM) of 14664 and 14676 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14664 and 14676. First we will calculate the prime factors of 14664 and 14676.

Prime Factorization of 14664

Prime Factorization of 14676

Now multiplying the highest exponent prime factors to calculate the LCM of 14664 and 14676.

LCM(14664,14676) = 2³ × 3¹ × 13¹ × 47¹ × 1223¹
LCM(14664,14676) = 17934072