What is the Least Common Multiple of 13353 and 13359?

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 13353 and 13359 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13353 and 13359, than apply into the LCM equation.

GCF(13353,13359) = 3
LCM(13353,13359) = ( 13353 × 13359) / 3
LCM(13353,13359) = 178382727 / 3
LCM(13353,13359) = 59460909

Least Common Multiple (LCM) of 13353 and 13359 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13353 and 13359. First we will calculate the prime factors of 13353 and 13359.

Prime Factorization of 13353

Prime Factorization of 13359

Now multiplying the highest exponent prime factors to calculate the LCM of 13353 and 13359.

LCM(13353,13359) = 3¹ × 4451¹ × 61¹ × 73¹
LCM(13353,13359) = 59460909