What is the Least Common Multiple of 33908 and 33912?

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 33908 and 33912 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33908 and 33912, than apply into the LCM equation.

GCF(33908,33912) = 4
LCM(33908,33912) = ( 33908 × 33912) / 4
LCM(33908,33912) = 1149888096 / 4
LCM(33908,33912) = 287472024

Least Common Multiple (LCM) of 33908 and 33912 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33908 and 33912. First we will calculate the prime factors of 33908 and 33912.

Prime Factorization of 33908

Prime Factorization of 33912

Now multiplying the highest exponent prime factors to calculate the LCM of 33908 and 33912.

LCM(33908,33912) = 2³ × 7² × 173¹ × 3³ × 157¹
LCM(33908,33912) = 287472024