What is the Least Common Multiple of 7344 and 7359?

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 7344 and 7359 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7344 and 7359, than apply into the LCM equation.

GCF(7344,7359) = 3
LCM(7344,7359) = ( 7344 × 7359) / 3
LCM(7344,7359) = 54044496 / 3
LCM(7344,7359) = 18014832

Least Common Multiple (LCM) of 7344 and 7359 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7344 and 7359. First we will calculate the prime factors of 7344 and 7359.

Prime Factorization of 7344

Prime Factorization of 7359

Now multiplying the highest exponent prime factors to calculate the LCM of 7344 and 7359.

LCM(7344,7359) = 2⁴ × 3³ × 17¹ × 11¹ × 223¹
LCM(7344,7359) = 18014832