What is the Least Common Multiple of 12129 and 12146?

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 12129 and 12146 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12129 and 12146, than apply into the LCM equation.

GCF(12129,12146) = 1
LCM(12129,12146) = ( 12129 × 12146) / 1
LCM(12129,12146) = 147318834 / 1
LCM(12129,12146) = 147318834

Least Common Multiple (LCM) of 12129 and 12146 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12129 and 12146. First we will calculate the prime factors of 12129 and 12146.

Prime Factorization of 12129

Prime Factorization of 12146

Now multiplying the highest exponent prime factors to calculate the LCM of 12129 and 12146.

LCM(12129,12146) = 3¹ × 13¹ × 311¹ × 2¹ × 6073¹
LCM(12129,12146) = 147318834