What is the Least Common Multiple of 66816 and 66828?

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 66816 and 66828 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66816 and 66828, than apply into the LCM equation.

GCF(66816,66828) = 12
LCM(66816,66828) = ( 66816 × 66828) / 12
LCM(66816,66828) = 4465179648 / 12
LCM(66816,66828) = 372098304

Least Common Multiple (LCM) of 66816 and 66828 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66816 and 66828. First we will calculate the prime factors of 66816 and 66828.

Prime Factorization of 66816

Prime Factorization of 66828

Now multiplying the highest exponent prime factors to calculate the LCM of 66816 and 66828.

LCM(66816,66828) = 2⁸ × 3² × 29¹ × 5569¹
LCM(66816,66828) = 372098304