What is the Least Common Multiple of 1344 and 1360?

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 1360 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 1360, than apply into the LCM equation.

GCF(1344,1360) = 16
LCM(1344,1360) = ( 1344 × 1360) / 16
LCM(1344,1360) = 1827840 / 16
LCM(1344,1360) = 114240

Least Common Multiple (LCM) of 1344 and 1360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1344 and 1360. First we will calculate the prime factors of 1344 and 1360.

Prime Factorization of 1344

Prime Factorization of 1360

Now multiplying the highest exponent prime factors to calculate the LCM of 1344 and 1360.

LCM(1344,1360) = 2⁶ × 3¹ × 7¹ × 5¹ × 17¹
LCM(1344,1360) = 114240