What is the Least Common Multiple of 87855 and 87870?

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 87855 and 87870 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87855 and 87870, than apply into the LCM equation.

GCF(87855,87870) = 15
LCM(87855,87870) = ( 87855 × 87870) / 15
LCM(87855,87870) = 7719818850 / 15
LCM(87855,87870) = 514654590

Least Common Multiple (LCM) of 87855 and 87870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87855 and 87870. First we will calculate the prime factors of 87855 and 87870.

Prime Factorization of 87855

Prime Factorization of 87870

Now multiplying the highest exponent prime factors to calculate the LCM of 87855 and 87870.

LCM(87855,87870) = 3¹ × 5¹ × 5857¹ × 2¹ × 29¹ × 101¹
LCM(87855,87870) = 514654590