What is the Least Common Multiple of 13335 and 13344?

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 13335 and 13344 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13335 and 13344, than apply into the LCM equation.

GCF(13335,13344) = 3
LCM(13335,13344) = ( 13335 × 13344) / 3
LCM(13335,13344) = 177942240 / 3
LCM(13335,13344) = 59314080

Least Common Multiple (LCM) of 13335 and 13344 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13335 and 13344. First we will calculate the prime factors of 13335 and 13344.

Prime Factorization of 13335

Prime Factorization of 13344

Now multiplying the highest exponent prime factors to calculate the LCM of 13335 and 13344.

LCM(13335,13344) = 3¹ × 5¹ × 7¹ × 127¹ × 2⁵ × 139¹
LCM(13335,13344) = 59314080