What is the Least Common Multiple of 1344 and 1359?

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 1344 and 1359 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1344 and 1359, than apply into the LCM equation.

GCF(1344,1359) = 3
LCM(1344,1359) = ( 1344 × 1359) / 3
LCM(1344,1359) = 1826496 / 3
LCM(1344,1359) = 608832

Least Common Multiple (LCM) of 1344 and 1359 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1344 and 1359. First we will calculate the prime factors of 1344 and 1359.

Prime Factorization of 1344

Prime Factorization of 1359

Now multiplying the highest exponent prime factors to calculate the LCM of 1344 and 1359.

LCM(1344,1359) = 2⁶ × 3² × 7¹ × 151¹
LCM(1344,1359) = 608832