What is the Least Common Multiple of 13338 and 13357?

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 13338 and 13357 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13338 and 13357, than apply into the LCM equation.

GCF(13338,13357) = 19
LCM(13338,13357) = ( 13338 × 13357) / 19
LCM(13338,13357) = 178155666 / 19
LCM(13338,13357) = 9376614

Least Common Multiple (LCM) of 13338 and 13357 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13338 and 13357. First we will calculate the prime factors of 13338 and 13357.

Prime Factorization of 13338

Prime Factorization of 13357

Now multiplying the highest exponent prime factors to calculate the LCM of 13338 and 13357.

LCM(13338,13357) = 2¹ × 3³ × 13¹ × 19² × 37¹
LCM(13338,13357) = 9376614