What is the Least Common Multiple of 14646 and 14664?

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 14646 and 14664 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14646 and 14664, than apply into the LCM equation.

GCF(14646,14664) = 6
LCM(14646,14664) = ( 14646 × 14664) / 6
LCM(14646,14664) = 214768944 / 6
LCM(14646,14664) = 35794824

Least Common Multiple (LCM) of 14646 and 14664 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14646 and 14664. First we will calculate the prime factors of 14646 and 14664.

Prime Factorization of 14646

Prime Factorization of 14664

Now multiplying the highest exponent prime factors to calculate the LCM of 14646 and 14664.

LCM(14646,14664) = 2³ × 3¹ × 2441¹ × 13¹ × 47¹
LCM(14646,14664) = 35794824