What is the Least Common Multiple of 36129 and 36146?

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 36129 and 36146 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36129 and 36146, than apply into the LCM equation.

GCF(36129,36146) = 1
LCM(36129,36146) = ( 36129 × 36146) / 1
LCM(36129,36146) = 1305918834 / 1
LCM(36129,36146) = 1305918834

Least Common Multiple (LCM) of 36129 and 36146 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36129 and 36146. First we will calculate the prime factors of 36129 and 36146.

Prime Factorization of 36129

Prime Factorization of 36146

Now multiplying the highest exponent prime factors to calculate the LCM of 36129 and 36146.

LCM(36129,36146) = 3¹ × 12043¹ × 2¹ × 11¹ × 31¹ × 53¹
LCM(36129,36146) = 1305918834