What is the Least Common Multiple of 13356 and 13376?

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 13356 and 13376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13356 and 13376, than apply into the LCM equation.

GCF(13356,13376) = 4
LCM(13356,13376) = ( 13356 × 13376) / 4
LCM(13356,13376) = 178649856 / 4
LCM(13356,13376) = 44662464

Least Common Multiple (LCM) of 13356 and 13376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13356 and 13376. First we will calculate the prime factors of 13356 and 13376.

Prime Factorization of 13356

Prime Factorization of 13376

Now multiplying the highest exponent prime factors to calculate the LCM of 13356 and 13376.

LCM(13356,13376) = 2⁶ × 3² × 7¹ × 53¹ × 11¹ × 19¹
LCM(13356,13376) = 44662464