What is the Least Common Multiple of 15146 and 15165?

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 15146 and 15165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15146 and 15165, than apply into the LCM equation.

GCF(15146,15165) = 1
LCM(15146,15165) = ( 15146 × 15165) / 1
LCM(15146,15165) = 229689090 / 1
LCM(15146,15165) = 229689090

Least Common Multiple (LCM) of 15146 and 15165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15146 and 15165. First we will calculate the prime factors of 15146 and 15165.

Prime Factorization of 15146

Prime Factorization of 15165

Now multiplying the highest exponent prime factors to calculate the LCM of 15146 and 15165.

LCM(15146,15165) = 2¹ × 7573¹ × 3² × 5¹ × 337¹
LCM(15146,15165) = 229689090