What is the Least Common Multiple of 18816 and 18828?

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 18816 and 18828 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18816 and 18828, than apply into the LCM equation.

GCF(18816,18828) = 12
LCM(18816,18828) = ( 18816 × 18828) / 12
LCM(18816,18828) = 354267648 / 12
LCM(18816,18828) = 29522304

Least Common Multiple (LCM) of 18816 and 18828 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18816 and 18828. First we will calculate the prime factors of 18816 and 18828.

Prime Factorization of 18816

Prime Factorization of 18828

Now multiplying the highest exponent prime factors to calculate the LCM of 18816 and 18828.

LCM(18816,18828) = 2⁷ × 3² × 7² × 523¹
LCM(18816,18828) = 29522304