What is the Least Common Multiple of 82745 and 82760?

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 82745 and 82760 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82745 and 82760, than apply into the LCM equation.

GCF(82745,82760) = 5
LCM(82745,82760) = ( 82745 × 82760) / 5
LCM(82745,82760) = 6847976200 / 5
LCM(82745,82760) = 1369595240

Least Common Multiple (LCM) of 82745 and 82760 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82745 and 82760. First we will calculate the prime factors of 82745 and 82760.

Prime Factorization of 82745

Prime Factorization of 82760

Now multiplying the highest exponent prime factors to calculate the LCM of 82745 and 82760.

LCM(82745,82760) = 5¹ × 13¹ × 19¹ × 67¹ × 2³ × 2069¹
LCM(82745,82760) = 1369595240