What is the Least Common Multiple of 13101 and 13113?

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 13101 and 13113 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13101 and 13113, than apply into the LCM equation.

GCF(13101,13113) = 3
LCM(13101,13113) = ( 13101 × 13113) / 3
LCM(13101,13113) = 171793413 / 3
LCM(13101,13113) = 57264471

Least Common Multiple (LCM) of 13101 and 13113 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13101 and 13113. First we will calculate the prime factors of 13101 and 13113.

Prime Factorization of 13101

Prime Factorization of 13113

Now multiplying the highest exponent prime factors to calculate the LCM of 13101 and 13113.

LCM(13101,13113) = 3² × 11¹ × 397¹ × 31¹ × 47¹
LCM(13101,13113) = 57264471