What is the Least Common Multiple of 16647 and 16664?

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 16647 and 16664 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16647 and 16664, than apply into the LCM equation.

GCF(16647,16664) = 1
LCM(16647,16664) = ( 16647 × 16664) / 1
LCM(16647,16664) = 277405608 / 1
LCM(16647,16664) = 277405608

Least Common Multiple (LCM) of 16647 and 16664 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16647 and 16664. First we will calculate the prime factors of 16647 and 16664.

Prime Factorization of 16647

Prime Factorization of 16664

Now multiplying the highest exponent prime factors to calculate the LCM of 16647 and 16664.

LCM(16647,16664) = 3¹ × 31¹ × 179¹ × 2³ × 2083¹
LCM(16647,16664) = 277405608