What is the Least Common Multiple of 47392 and 47400?

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 47392 and 47400 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47392 and 47400, than apply into the LCM equation.

GCF(47392,47400) = 8
LCM(47392,47400) = ( 47392 × 47400) / 8
LCM(47392,47400) = 2246380800 / 8
LCM(47392,47400) = 280797600

Least Common Multiple (LCM) of 47392 and 47400 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47392 and 47400. First we will calculate the prime factors of 47392 and 47400.

Prime Factorization of 47392

Prime Factorization of 47400

Now multiplying the highest exponent prime factors to calculate the LCM of 47392 and 47400.

LCM(47392,47400) = 2⁵ × 1481¹ × 3¹ × 5² × 79¹
LCM(47392,47400) = 280797600