What is the Least Common Multiple of 40870 and 40875?

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 40875 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 40875, than apply into the LCM equation.

GCF(40870,40875) = 5
LCM(40870,40875) = ( 40870 × 40875) / 5
LCM(40870,40875) = 1670561250 / 5
LCM(40870,40875) = 334112250

Least Common Multiple (LCM) of 40870 and 40875 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40870 and 40875. First we will calculate the prime factors of 40870 and 40875.

Prime Factorization of 40870

Prime Factorization of 40875

Now multiplying the highest exponent prime factors to calculate the LCM of 40870 and 40875.

LCM(40870,40875) = 2¹ × 5³ × 61¹ × 67¹ × 3¹ × 109¹
LCM(40870,40875) = 334112250