What is the Least Common Multiple of 93582 and 93598?

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 93582 and 93598 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93582 and 93598, than apply into the LCM equation.

GCF(93582,93598) = 2
LCM(93582,93598) = ( 93582 × 93598) / 2
LCM(93582,93598) = 8759088036 / 2
LCM(93582,93598) = 4379544018

Least Common Multiple (LCM) of 93582 and 93598 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93582 and 93598. First we will calculate the prime factors of 93582 and 93598.

Prime Factorization of 93582

Prime Factorization of 93598

Now multiplying the highest exponent prime factors to calculate the LCM of 93582 and 93598.

LCM(93582,93598) = 2¹ × 3³ × 1733¹ × 53¹ × 883¹
LCM(93582,93598) = 4379544018