What is the Least Common Multiple of 18648 and 18664?

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 18648 and 18664 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18648 and 18664, than apply into the LCM equation.

GCF(18648,18664) = 8
LCM(18648,18664) = ( 18648 × 18664) / 8
LCM(18648,18664) = 348046272 / 8
LCM(18648,18664) = 43505784

Least Common Multiple (LCM) of 18648 and 18664 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18648 and 18664. First we will calculate the prime factors of 18648 and 18664.

Prime Factorization of 18648

Prime Factorization of 18664

Now multiplying the highest exponent prime factors to calculate the LCM of 18648 and 18664.

LCM(18648,18664) = 2³ × 3² × 7¹ × 37¹ × 2333¹
LCM(18648,18664) = 43505784