What is the Least Common Multiple of 9125 and 9140?

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 9125 and 9140 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9125 and 9140, than apply into the LCM equation.

GCF(9125,9140) = 5
LCM(9125,9140) = ( 9125 × 9140) / 5
LCM(9125,9140) = 83402500 / 5
LCM(9125,9140) = 16680500

Least Common Multiple (LCM) of 9125 and 9140 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9125 and 9140. First we will calculate the prime factors of 9125 and 9140.

Prime Factorization of 9125

Prime Factorization of 9140

Now multiplying the highest exponent prime factors to calculate the LCM of 9125 and 9140.

LCM(9125,9140) = 5³ × 73¹ × 2² × 457¹
LCM(9125,9140) = 16680500