What is the Least Common Multiple of 13257 and 13266?

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 13257 and 13266 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13257 and 13266, than apply into the LCM equation.

GCF(13257,13266) = 9
LCM(13257,13266) = ( 13257 × 13266) / 9
LCM(13257,13266) = 175867362 / 9
LCM(13257,13266) = 19540818

Least Common Multiple (LCM) of 13257 and 13266 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13257 and 13266. First we will calculate the prime factors of 13257 and 13266.

Prime Factorization of 13257

Prime Factorization of 13266

Now multiplying the highest exponent prime factors to calculate the LCM of 13257 and 13266.

LCM(13257,13266) = 3³ × 491¹ × 2¹ × 11¹ × 67¹
LCM(13257,13266) = 19540818