What is the Least Common Multiple of 33124 and 33128?

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 33124 and 33128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33124 and 33128, than apply into the LCM equation.

GCF(33124,33128) = 4
LCM(33124,33128) = ( 33124 × 33128) / 4
LCM(33124,33128) = 1097331872 / 4
LCM(33124,33128) = 274332968

Least Common Multiple (LCM) of 33124 and 33128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33124 and 33128. First we will calculate the prime factors of 33124 and 33128.

Prime Factorization of 33124

Prime Factorization of 33128

Now multiplying the highest exponent prime factors to calculate the LCM of 33124 and 33128.

LCM(33124,33128) = 2³ × 7² × 13² × 41¹ × 101¹
LCM(33124,33128) = 274332968