What is the Least Common Multiple of 48567 and 48579?

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 48567 and 48579 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48567 and 48579, than apply into the LCM equation.

GCF(48567,48579) = 3
LCM(48567,48579) = ( 48567 × 48579) / 3
LCM(48567,48579) = 2359336293 / 3
LCM(48567,48579) = 786445431

Least Common Multiple (LCM) of 48567 and 48579 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48567 and 48579. First we will calculate the prime factors of 48567 and 48579.

Prime Factorization of 48567

Prime Factorization of 48579

Now multiplying the highest exponent prime factors to calculate the LCM of 48567 and 48579.

LCM(48567,48579) = 3¹ × 16189¹ × 16193¹
LCM(48567,48579) = 786445431