What is the Least Common Multiple of 93006 and 93025?

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 93006 and 93025 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93006 and 93025, than apply into the LCM equation.

GCF(93006,93025) = 1
LCM(93006,93025) = ( 93006 × 93025) / 1
LCM(93006,93025) = 8651883150 / 1
LCM(93006,93025) = 8651883150

Least Common Multiple (LCM) of 93006 and 93025 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93006 and 93025. First we will calculate the prime factors of 93006 and 93025.

Prime Factorization of 93006

Prime Factorization of 93025

Now multiplying the highest exponent prime factors to calculate the LCM of 93006 and 93025.

LCM(93006,93025) = 2¹ × 3² × 5167¹ × 5² × 61²
LCM(93006,93025) = 8651883150