What is the Least Common Multiple of 47376 and 47380?

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 47376 and 47380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47376 and 47380, than apply into the LCM equation.

GCF(47376,47380) = 4
LCM(47376,47380) = ( 47376 × 47380) / 4
LCM(47376,47380) = 2244674880 / 4
LCM(47376,47380) = 561168720

Least Common Multiple (LCM) of 47376 and 47380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47376 and 47380. First we will calculate the prime factors of 47376 and 47380.

Prime Factorization of 47376

Prime Factorization of 47380

Now multiplying the highest exponent prime factors to calculate the LCM of 47376 and 47380.

LCM(47376,47380) = 2⁴ × 3² × 7¹ × 47¹ × 5¹ × 23¹ × 103¹
LCM(47376,47380) = 561168720