What is the Least Common Multiple of 48672 and 48680?

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 48672 and 48680 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48672 and 48680, than apply into the LCM equation.

GCF(48672,48680) = 8
LCM(48672,48680) = ( 48672 × 48680) / 8
LCM(48672,48680) = 2369352960 / 8
LCM(48672,48680) = 296169120

Least Common Multiple (LCM) of 48672 and 48680 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48672 and 48680. First we will calculate the prime factors of 48672 and 48680.

Prime Factorization of 48672

Prime Factorization of 48680

Now multiplying the highest exponent prime factors to calculate the LCM of 48672 and 48680.

LCM(48672,48680) = 2⁵ × 3² × 13² × 5¹ × 1217¹
LCM(48672,48680) = 296169120