What is the Least Common Multiple of 87225 and 87231?

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 87225 and 87231 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87225 and 87231, than apply into the LCM equation.

GCF(87225,87231) = 3
LCM(87225,87231) = ( 87225 × 87231) / 3
LCM(87225,87231) = 7608723975 / 3
LCM(87225,87231) = 2536241325

Least Common Multiple (LCM) of 87225 and 87231 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87225 and 87231. First we will calculate the prime factors of 87225 and 87231.

Prime Factorization of 87225

Prime Factorization of 87231

Now multiplying the highest exponent prime factors to calculate the LCM of 87225 and 87231.

LCM(87225,87231) = 3¹ × 5² × 1163¹ × 29077¹
LCM(87225,87231) = 2536241325