What is the Least Common Multiple of 40870 and 40882?

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 40870 and 40882 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40870 and 40882, than apply into the LCM equation.

GCF(40870,40882) = 2
LCM(40870,40882) = ( 40870 × 40882) / 2
LCM(40870,40882) = 1670847340 / 2
LCM(40870,40882) = 835423670

Least Common Multiple (LCM) of 40870 and 40882 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40870 and 40882. First we will calculate the prime factors of 40870 and 40882.

Prime Factorization of 40870

Prime Factorization of 40882

Now multiplying the highest exponent prime factors to calculate the LCM of 40870 and 40882.

LCM(40870,40882) = 2¹ × 5¹ × 61¹ × 67¹ × 20441¹
LCM(40870,40882) = 835423670