What is the Least Common Multiple of 33312 and 33320?

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 33312 and 33320 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33312 and 33320, than apply into the LCM equation.

GCF(33312,33320) = 8
LCM(33312,33320) = ( 33312 × 33320) / 8
LCM(33312,33320) = 1109955840 / 8
LCM(33312,33320) = 138744480

Least Common Multiple (LCM) of 33312 and 33320 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33312 and 33320. First we will calculate the prime factors of 33312 and 33320.

Prime Factorization of 33312

Prime Factorization of 33320

Now multiplying the highest exponent prime factors to calculate the LCM of 33312 and 33320.

LCM(33312,33320) = 2⁵ × 3¹ × 347¹ × 5¹ × 7² × 17¹
LCM(33312,33320) = 138744480