What is the Least Common Multiple of 75384 and 75396?

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 75384 and 75396 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75384 and 75396, than apply into the LCM equation.

GCF(75384,75396) = 12
LCM(75384,75396) = ( 75384 × 75396) / 12
LCM(75384,75396) = 5683652064 / 12
LCM(75384,75396) = 473637672

Least Common Multiple (LCM) of 75384 and 75396 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75384 and 75396. First we will calculate the prime factors of 75384 and 75396.

Prime Factorization of 75384

Prime Factorization of 75396

Now multiplying the highest exponent prime factors to calculate the LCM of 75384 and 75396.

LCM(75384,75396) = 2³ × 3³ × 349¹ × 61¹ × 103¹
LCM(75384,75396) = 473637672