What is the Least Common Multiple of 47720 and 47725?

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 47720 and 47725 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47720 and 47725, than apply into the LCM equation.

GCF(47720,47725) = 5
LCM(47720,47725) = ( 47720 × 47725) / 5
LCM(47720,47725) = 2277437000 / 5
LCM(47720,47725) = 455487400

Least Common Multiple (LCM) of 47720 and 47725 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47720 and 47725. First we will calculate the prime factors of 47720 and 47725.

Prime Factorization of 47720

Prime Factorization of 47725

Now multiplying the highest exponent prime factors to calculate the LCM of 47720 and 47725.

LCM(47720,47725) = 2³ × 5² × 1193¹ × 23¹ × 83¹
LCM(47720,47725) = 455487400