What is the Least Common Multiple of 48715 and 48728?

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 48715 and 48728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48715 and 48728, than apply into the LCM equation.

GCF(48715,48728) = 1
LCM(48715,48728) = ( 48715 × 48728) / 1
LCM(48715,48728) = 2373784520 / 1
LCM(48715,48728) = 2373784520

Least Common Multiple (LCM) of 48715 and 48728 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48715 and 48728. First we will calculate the prime factors of 48715 and 48728.

Prime Factorization of 48715

Prime Factorization of 48728

Now multiplying the highest exponent prime factors to calculate the LCM of 48715 and 48728.

LCM(48715,48728) = 5¹ × 9743¹ × 2³ × 6091¹
LCM(48715,48728) = 2373784520