What is the Least Common Multiple of 4347 and 4359?

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 4347 and 4359 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4347 and 4359, than apply into the LCM equation.

GCF(4347,4359) = 3
LCM(4347,4359) = ( 4347 × 4359) / 3
LCM(4347,4359) = 18948573 / 3
LCM(4347,4359) = 6316191

Least Common Multiple (LCM) of 4347 and 4359 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4347 and 4359. First we will calculate the prime factors of 4347 and 4359.

Prime Factorization of 4347

Prime Factorization of 4359

Now multiplying the highest exponent prime factors to calculate the LCM of 4347 and 4359.

LCM(4347,4359) = 3³ × 7¹ × 23¹ × 1453¹
LCM(4347,4359) = 6316191