What is the Least Common Multiple of 47380 and 47392?

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 47380 and 47392 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47380 and 47392, than apply into the LCM equation.

GCF(47380,47392) = 4
LCM(47380,47392) = ( 47380 × 47392) / 4
LCM(47380,47392) = 2245432960 / 4
LCM(47380,47392) = 561358240

Least Common Multiple (LCM) of 47380 and 47392 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47380 and 47392. First we will calculate the prime factors of 47380 and 47392.

Prime Factorization of 47380

Prime Factorization of 47392

Now multiplying the highest exponent prime factors to calculate the LCM of 47380 and 47392.

LCM(47380,47392) = 2⁵ × 5¹ × 23¹ × 103¹ × 1481¹
LCM(47380,47392) = 561358240