What is the Least Common Multiple of 3312 and 3328?

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 3312 and 3328 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3312 and 3328, than apply into the LCM equation.

GCF(3312,3328) = 16
LCM(3312,3328) = ( 3312 × 3328) / 16
LCM(3312,3328) = 11022336 / 16
LCM(3312,3328) = 688896

Least Common Multiple (LCM) of 3312 and 3328 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3312 and 3328. First we will calculate the prime factors of 3312 and 3328.

Prime Factorization of 3312

Prime Factorization of 3328

Now multiplying the highest exponent prime factors to calculate the LCM of 3312 and 3328.

LCM(3312,3328) = 2⁸ × 3² × 23¹ × 13¹
LCM(3312,3328) = 688896