What is the Least Common Multiple of 87150 and 87170?

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 87150 and 87170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87150 and 87170, than apply into the LCM equation.

GCF(87150,87170) = 10
LCM(87150,87170) = ( 87150 × 87170) / 10
LCM(87150,87170) = 7596865500 / 10
LCM(87150,87170) = 759686550

Least Common Multiple (LCM) of 87150 and 87170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87150 and 87170. First we will calculate the prime factors of 87150 and 87170.

Prime Factorization of 87150

Prime Factorization of 87170

Now multiplying the highest exponent prime factors to calculate the LCM of 87150 and 87170.

LCM(87150,87170) = 2¹ × 3¹ × 5² × 7¹ × 83¹ × 23¹ × 379¹
LCM(87150,87170) = 759686550