What is the Least Common Multiple of 48653 and 48658?

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 48653 and 48658 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48653 and 48658, than apply into the LCM equation.

GCF(48653,48658) = 1
LCM(48653,48658) = ( 48653 × 48658) / 1
LCM(48653,48658) = 2367357674 / 1
LCM(48653,48658) = 2367357674

Least Common Multiple (LCM) of 48653 and 48658 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48653 and 48658. First we will calculate the prime factors of 48653 and 48658.

Prime Factorization of 48653

Prime Factorization of 48658

Now multiplying the highest exponent prime factors to calculate the LCM of 48653 and 48658.

LCM(48653,48658) = 11¹ × 4423¹ × 2¹ × 24329¹
LCM(48653,48658) = 2367357674