What is the Least Common Multiple of 9140 and 9160?

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 9140 and 9160 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9140 and 9160, than apply into the LCM equation.

GCF(9140,9160) = 20
LCM(9140,9160) = ( 9140 × 9160) / 20
LCM(9140,9160) = 83722400 / 20
LCM(9140,9160) = 4186120

Least Common Multiple (LCM) of 9140 and 9160 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9140 and 9160. First we will calculate the prime factors of 9140 and 9160.

Prime Factorization of 9140

Prime Factorization of 9160

Now multiplying the highest exponent prime factors to calculate the LCM of 9140 and 9160.

LCM(9140,9160) = 2³ × 5¹ × 457¹ × 229¹
LCM(9140,9160) = 4186120