What is the Least Common Multiple of 33376 and 33392?

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 33376 and 33392 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33376 and 33392, than apply into the LCM equation.

GCF(33376,33392) = 16
LCM(33376,33392) = ( 33376 × 33392) / 16
LCM(33376,33392) = 1114491392 / 16
LCM(33376,33392) = 69655712

Least Common Multiple (LCM) of 33376 and 33392 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33376 and 33392. First we will calculate the prime factors of 33376 and 33392.

Prime Factorization of 33376

Prime Factorization of 33392

Now multiplying the highest exponent prime factors to calculate the LCM of 33376 and 33392.

LCM(33376,33392) = 2⁵ × 7¹ × 149¹ × 2087¹
LCM(33376,33392) = 69655712