What is the Least Common Multiple of 48352 and 48359?

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 48352 and 48359 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48352 and 48359, than apply into the LCM equation.

GCF(48352,48359) = 1
LCM(48352,48359) = ( 48352 × 48359) / 1
LCM(48352,48359) = 2338254368 / 1
LCM(48352,48359) = 2338254368

Least Common Multiple (LCM) of 48352 and 48359 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48352 and 48359. First we will calculate the prime factors of 48352 and 48359.

Prime Factorization of 48352

Prime Factorization of 48359

Now multiplying the highest exponent prime factors to calculate the LCM of 48352 and 48359.

LCM(48352,48359) = 2⁵ × 1511¹ × 37¹ × 1307¹
LCM(48352,48359) = 2338254368