What is the Least Common Multiple of 13239 and 13257?

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 13239 and 13257 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13239 and 13257, than apply into the LCM equation.

GCF(13239,13257) = 9
LCM(13239,13257) = ( 13239 × 13257) / 9
LCM(13239,13257) = 175509423 / 9
LCM(13239,13257) = 19501047

Least Common Multiple (LCM) of 13239 and 13257 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13239 and 13257. First we will calculate the prime factors of 13239 and 13257.

Prime Factorization of 13239

Prime Factorization of 13257

Now multiplying the highest exponent prime factors to calculate the LCM of 13239 and 13257.

LCM(13239,13257) = 3³ × 1471¹ × 491¹
LCM(13239,13257) = 19501047