What is the Least Common Multiple of 13131 and 13146?

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 13131 and 13146 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13131 and 13146, than apply into the LCM equation.

GCF(13131,13146) = 3
LCM(13131,13146) = ( 13131 × 13146) / 3
LCM(13131,13146) = 172620126 / 3
LCM(13131,13146) = 57540042

Least Common Multiple (LCM) of 13131 and 13146 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13131 and 13146. First we will calculate the prime factors of 13131 and 13146.

Prime Factorization of 13131

Prime Factorization of 13146

Now multiplying the highest exponent prime factors to calculate the LCM of 13131 and 13146.

LCM(13131,13146) = 3² × 1459¹ × 2¹ × 7¹ × 313¹
LCM(13131,13146) = 57540042