What is the Least Common Multiple of 13344 and 13350?

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 13344 and 13350 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13344 and 13350, than apply into the LCM equation.

GCF(13344,13350) = 6
LCM(13344,13350) = ( 13344 × 13350) / 6
LCM(13344,13350) = 178142400 / 6
LCM(13344,13350) = 29690400

Least Common Multiple (LCM) of 13344 and 13350 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13344 and 13350. First we will calculate the prime factors of 13344 and 13350.

Prime Factorization of 13344

Prime Factorization of 13350

Now multiplying the highest exponent prime factors to calculate the LCM of 13344 and 13350.

LCM(13344,13350) = 2⁵ × 3¹ × 139¹ × 5² × 89¹
LCM(13344,13350) = 29690400