What is the Least Common Multiple of 97146 and 97165?

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 97146 and 97165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97146 and 97165, than apply into the LCM equation.

GCF(97146,97165) = 1
LCM(97146,97165) = ( 97146 × 97165) / 1
LCM(97146,97165) = 9439191090 / 1
LCM(97146,97165) = 9439191090

Least Common Multiple (LCM) of 97146 and 97165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97146 and 97165. First we will calculate the prime factors of 97146 and 97165.

Prime Factorization of 97146

Prime Factorization of 97165

Now multiplying the highest exponent prime factors to calculate the LCM of 97146 and 97165.

LCM(97146,97165) = 2¹ × 3³ × 7¹ × 257¹ × 5¹ × 19433¹
LCM(97146,97165) = 9439191090