What is the Least Common Multiple of 88359 and 88368?

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 88359 and 88368 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88359 and 88368, than apply into the LCM equation.

GCF(88359,88368) = 3
LCM(88359,88368) = ( 88359 × 88368) / 3
LCM(88359,88368) = 7808108112 / 3
LCM(88359,88368) = 2602702704

Least Common Multiple (LCM) of 88359 and 88368 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88359 and 88368. First we will calculate the prime factors of 88359 and 88368.

Prime Factorization of 88359

Prime Factorization of 88368

Now multiplying the highest exponent prime factors to calculate the LCM of 88359 and 88368.

LCM(88359,88368) = 3¹ × 29453¹ × 2⁴ × 7¹ × 263¹
LCM(88359,88368) = 2602702704