What is the Least Common Multiple of 3300 and 3312?

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 3300 and 3312 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3300 and 3312, than apply into the LCM equation.

GCF(3300,3312) = 12
LCM(3300,3312) = ( 3300 × 3312) / 12
LCM(3300,3312) = 10929600 / 12
LCM(3300,3312) = 910800

Least Common Multiple (LCM) of 3300 and 3312 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3300 and 3312. First we will calculate the prime factors of 3300 and 3312.

Prime Factorization of 3300

Prime Factorization of 3312

Now multiplying the highest exponent prime factors to calculate the LCM of 3300 and 3312.

LCM(3300,3312) = 2⁴ × 3² × 5² × 11¹ × 23¹
LCM(3300,3312) = 910800