What is the Least Common Multiple of 33915 and 33928?

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 33915 and 33928 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33915 and 33928, than apply into the LCM equation.

GCF(33915,33928) = 1
LCM(33915,33928) = ( 33915 × 33928) / 1
LCM(33915,33928) = 1150668120 / 1
LCM(33915,33928) = 1150668120

Least Common Multiple (LCM) of 33915 and 33928 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33915 and 33928. First we will calculate the prime factors of 33915 and 33928.

Prime Factorization of 33915

Prime Factorization of 33928

Now multiplying the highest exponent prime factors to calculate the LCM of 33915 and 33928.

LCM(33915,33928) = 3¹ × 5¹ × 7¹ × 17¹ × 19¹ × 2³ × 4241¹
LCM(33915,33928) = 1150668120