What is the Least Common Multiple of 87108 and 87125?

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 87108 and 87125 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87108 and 87125, than apply into the LCM equation.

GCF(87108,87125) = 17
LCM(87108,87125) = ( 87108 × 87125) / 17
LCM(87108,87125) = 7589284500 / 17
LCM(87108,87125) = 446428500

Least Common Multiple (LCM) of 87108 and 87125 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87108 and 87125. First we will calculate the prime factors of 87108 and 87125.

Prime Factorization of 87108

Prime Factorization of 87125

Now multiplying the highest exponent prime factors to calculate the LCM of 87108 and 87125.

LCM(87108,87125) = 2² × 3¹ × 7¹ × 17¹ × 61¹ × 5³ × 41¹
LCM(87108,87125) = 446428500