What is the Least Common Multiple of 33376 and 33382?

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 33382 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 33382, than apply into the LCM equation.

GCF(33376,33382) = 2
LCM(33376,33382) = ( 33376 × 33382) / 2
LCM(33376,33382) = 1114157632 / 2
LCM(33376,33382) = 557078816

Least Common Multiple (LCM) of 33376 and 33382 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33376 and 33382. First we will calculate the prime factors of 33376 and 33382.

Prime Factorization of 33376

Prime Factorization of 33382

Now multiplying the highest exponent prime factors to calculate the LCM of 33376 and 33382.

LCM(33376,33382) = 2⁵ × 7¹ × 149¹ × 16691¹
LCM(33376,33382) = 557078816