What is the Least Common Multiple of 87231 and 87249?

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 87231 and 87249 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87231 and 87249, than apply into the LCM equation.

GCF(87231,87249) = 3
LCM(87231,87249) = ( 87231 × 87249) / 3
LCM(87231,87249) = 7610817519 / 3
LCM(87231,87249) = 2536939173

Least Common Multiple (LCM) of 87231 and 87249 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87231 and 87249. First we will calculate the prime factors of 87231 and 87249.

Prime Factorization of 87231

Prime Factorization of 87249

Now multiplying the highest exponent prime factors to calculate the LCM of 87231 and 87249.

LCM(87231,87249) = 3¹ × 29077¹ × 127¹ × 229¹
LCM(87231,87249) = 2536939173