What is the Least Common Multiple of 86259 and 86272?

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 86259 and 86272 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86259 and 86272, than apply into the LCM equation.

GCF(86259,86272) = 1
LCM(86259,86272) = ( 86259 × 86272) / 1
LCM(86259,86272) = 7441736448 / 1
LCM(86259,86272) = 7441736448

Least Common Multiple (LCM) of 86259 and 86272 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86259 and 86272. First we will calculate the prime factors of 86259 and 86272.

Prime Factorization of 86259

Prime Factorization of 86272

Now multiplying the highest exponent prime factors to calculate the LCM of 86259 and 86272.

LCM(86259,86272) = 3¹ × 28753¹ × 2⁸ × 337¹
LCM(86259,86272) = 7441736448