What is the Least Common Multiple of 87250 and 87264?

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 87250 and 87264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87250 and 87264, than apply into the LCM equation.

GCF(87250,87264) = 2
LCM(87250,87264) = ( 87250 × 87264) / 2
LCM(87250,87264) = 7613784000 / 2
LCM(87250,87264) = 3806892000

Least Common Multiple (LCM) of 87250 and 87264 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87250 and 87264. First we will calculate the prime factors of 87250 and 87264.

Prime Factorization of 87250

Prime Factorization of 87264

Now multiplying the highest exponent prime factors to calculate the LCM of 87250 and 87264.

LCM(87250,87264) = 2⁵ × 5³ × 349¹ × 3³ × 101¹
LCM(87250,87264) = 3806892000