What is the Least Common Multiple of 48315 and 48330?

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 48315 and 48330 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48315 and 48330, than apply into the LCM equation.

GCF(48315,48330) = 15
LCM(48315,48330) = ( 48315 × 48330) / 15
LCM(48315,48330) = 2335063950 / 15
LCM(48315,48330) = 155670930

Least Common Multiple (LCM) of 48315 and 48330 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48315 and 48330. First we will calculate the prime factors of 48315 and 48330.

Prime Factorization of 48315

Prime Factorization of 48330

Now multiplying the highest exponent prime factors to calculate the LCM of 48315 and 48330.

LCM(48315,48330) = 3³ × 5¹ × 3221¹ × 2¹ × 179¹
LCM(48315,48330) = 155670930