What is the Least Common Multiple of 3664 and 3678?

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 3664 and 3678 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3664 and 3678, than apply into the LCM equation.

GCF(3664,3678) = 2
LCM(3664,3678) = ( 3664 × 3678) / 2
LCM(3664,3678) = 13476192 / 2
LCM(3664,3678) = 6738096

Least Common Multiple (LCM) of 3664 and 3678 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3664 and 3678. First we will calculate the prime factors of 3664 and 3678.

Prime Factorization of 3664

Prime Factorization of 3678

Now multiplying the highest exponent prime factors to calculate the LCM of 3664 and 3678.

LCM(3664,3678) = 2⁴ × 229¹ × 3¹ × 613¹
LCM(3664,3678) = 6738096