What is the Least Common Multiple of 13314 and 13333?

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 13314 and 13333 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13314 and 13333, than apply into the LCM equation.

GCF(13314,13333) = 1
LCM(13314,13333) = ( 13314 × 13333) / 1
LCM(13314,13333) = 177515562 / 1
LCM(13314,13333) = 177515562

Least Common Multiple (LCM) of 13314 and 13333 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13314 and 13333. First we will calculate the prime factors of 13314 and 13333.

Prime Factorization of 13314

Prime Factorization of 13333

Now multiplying the highest exponent prime factors to calculate the LCM of 13314 and 13333.

LCM(13314,13333) = 2¹ × 3¹ × 7¹ × 317¹ × 67¹ × 199¹
LCM(13314,13333) = 177515562