What is the Least Common Multiple of 87249 and 87256?

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 87249 and 87256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87249 and 87256, than apply into the LCM equation.

GCF(87249,87256) = 1
LCM(87249,87256) = ( 87249 × 87256) / 1
LCM(87249,87256) = 7612998744 / 1
LCM(87249,87256) = 7612998744

Least Common Multiple (LCM) of 87249 and 87256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87249 and 87256. First we will calculate the prime factors of 87249 and 87256.

Prime Factorization of 87249

Prime Factorization of 87256

Now multiplying the highest exponent prime factors to calculate the LCM of 87249 and 87256.

LCM(87249,87256) = 3¹ × 127¹ × 229¹ × 2³ × 13¹ × 839¹
LCM(87249,87256) = 7612998744