What is the Least Common Multiple of 48672 and 48676?

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 48676 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 48676, than apply into the LCM equation.

GCF(48672,48676) = 4
LCM(48672,48676) = ( 48672 × 48676) / 4
LCM(48672,48676) = 2369158272 / 4
LCM(48672,48676) = 592289568

Least Common Multiple (LCM) of 48672 and 48676 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48672 and 48676. First we will calculate the prime factors of 48672 and 48676.

Prime Factorization of 48672

Prime Factorization of 48676

Now multiplying the highest exponent prime factors to calculate the LCM of 48672 and 48676.

LCM(48672,48676) = 2⁵ × 3² × 13² × 43¹ × 283¹
LCM(48672,48676) = 592289568