What is the Least Common Multiple of 84870 and 84875?

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 84870 and 84875 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84870 and 84875, than apply into the LCM equation.

GCF(84870,84875) = 5
LCM(84870,84875) = ( 84870 × 84875) / 5
LCM(84870,84875) = 7203341250 / 5
LCM(84870,84875) = 1440668250

Least Common Multiple (LCM) of 84870 and 84875 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84870 and 84875. First we will calculate the prime factors of 84870 and 84875.

Prime Factorization of 84870

Prime Factorization of 84875

Now multiplying the highest exponent prime factors to calculate the LCM of 84870 and 84875.

LCM(84870,84875) = 2¹ × 3² × 5³ × 23¹ × 41¹ × 7¹ × 97¹
LCM(84870,84875) = 1440668250