What is the Least Common Multiple of 87150 and 87168?

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 87168 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 87168, than apply into the LCM equation.

GCF(87150,87168) = 6
LCM(87150,87168) = ( 87150 × 87168) / 6
LCM(87150,87168) = 7596691200 / 6
LCM(87150,87168) = 1266115200

Least Common Multiple (LCM) of 87150 and 87168 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87150 and 87168. First we will calculate the prime factors of 87150 and 87168.

Prime Factorization of 87150

Prime Factorization of 87168

Now multiplying the highest exponent prime factors to calculate the LCM of 87150 and 87168.

LCM(87150,87168) = 2⁷ × 3¹ × 5² × 7¹ × 83¹ × 227¹
LCM(87150,87168) = 1266115200