What is the Least Common Multiple of 16146 and 16165?

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 16146 and 16165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16146 and 16165, than apply into the LCM equation.

GCF(16146,16165) = 1
LCM(16146,16165) = ( 16146 × 16165) / 1
LCM(16146,16165) = 261000090 / 1
LCM(16146,16165) = 261000090

Least Common Multiple (LCM) of 16146 and 16165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16146 and 16165. First we will calculate the prime factors of 16146 and 16165.

Prime Factorization of 16146

Prime Factorization of 16165

Now multiplying the highest exponent prime factors to calculate the LCM of 16146 and 16165.

LCM(16146,16165) = 2¹ × 3³ × 13¹ × 23¹ × 5¹ × 53¹ × 61¹
LCM(16146,16165) = 261000090