What is the Least Common Multiple of 13401 and 13407?

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 13401 and 13407 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13401 and 13407, than apply into the LCM equation.

GCF(13401,13407) = 3
LCM(13401,13407) = ( 13401 × 13407) / 3
LCM(13401,13407) = 179667207 / 3
LCM(13401,13407) = 59889069

Least Common Multiple (LCM) of 13401 and 13407 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13401 and 13407. First we will calculate the prime factors of 13401 and 13407.

Prime Factorization of 13401

Prime Factorization of 13407

Now multiplying the highest exponent prime factors to calculate the LCM of 13401 and 13407.

LCM(13401,13407) = 3² × 1489¹ × 41¹ × 109¹
LCM(13401,13407) = 59889069