What is the Least Common Multiple of 13146 and 13161?

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 13146 and 13161 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13146 and 13161, than apply into the LCM equation.

GCF(13146,13161) = 3
LCM(13146,13161) = ( 13146 × 13161) / 3
LCM(13146,13161) = 173014506 / 3
LCM(13146,13161) = 57671502

Least Common Multiple (LCM) of 13146 and 13161 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13146 and 13161. First we will calculate the prime factors of 13146 and 13161.

Prime Factorization of 13146

Prime Factorization of 13161

Now multiplying the highest exponent prime factors to calculate the LCM of 13146 and 13161.

LCM(13146,13161) = 2¹ × 3¹ × 7¹ × 313¹ × 41¹ × 107¹
LCM(13146,13161) = 57671502