What is the Least Common Multiple of 33912 and 33921?

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 33912 and 33921 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33912 and 33921, than apply into the LCM equation.

GCF(33912,33921) = 9
LCM(33912,33921) = ( 33912 × 33921) / 9
LCM(33912,33921) = 1150328952 / 9
LCM(33912,33921) = 127814328

Least Common Multiple (LCM) of 33912 and 33921 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33912 and 33921. First we will calculate the prime factors of 33912 and 33921.

Prime Factorization of 33912

Prime Factorization of 33921

Now multiplying the highest exponent prime factors to calculate the LCM of 33912 and 33921.

LCM(33912,33921) = 2³ × 3³ × 157¹ × 3769¹
LCM(33912,33921) = 127814328