What is the Least Common Multiple of 87500 and 87512?

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 87500 and 87512 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87500 and 87512, than apply into the LCM equation.

GCF(87500,87512) = 4
LCM(87500,87512) = ( 87500 × 87512) / 4
LCM(87500,87512) = 7657300000 / 4
LCM(87500,87512) = 1914325000

Least Common Multiple (LCM) of 87500 and 87512 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87500 and 87512. First we will calculate the prime factors of 87500 and 87512.

Prime Factorization of 87500

Prime Factorization of 87512

Now multiplying the highest exponent prime factors to calculate the LCM of 87500 and 87512.

LCM(87500,87512) = 2³ × 5⁵ × 7¹ × 10939¹
LCM(87500,87512) = 1914325000