What is the Least Common Multiple of 48717 and 48723?

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 48717 and 48723 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48717 and 48723, than apply into the LCM equation.

GCF(48717,48723) = 3
LCM(48717,48723) = ( 48717 × 48723) / 3
LCM(48717,48723) = 2373638391 / 3
LCM(48717,48723) = 791212797

Least Common Multiple (LCM) of 48717 and 48723 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48717 and 48723. First we will calculate the prime factors of 48717 and 48723.

Prime Factorization of 48717

Prime Factorization of 48723

Now multiplying the highest exponent prime factors to calculate the LCM of 48717 and 48723.

LCM(48717,48723) = 3² × 5413¹ × 109¹ × 149¹
LCM(48717,48723) = 791212797