What is the Least Common Multiple of 86289 and 86304?

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 86289 and 86304 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86289 and 86304, than apply into the LCM equation.

GCF(86289,86304) = 3
LCM(86289,86304) = ( 86289 × 86304) / 3
LCM(86289,86304) = 7447085856 / 3
LCM(86289,86304) = 2482361952

Least Common Multiple (LCM) of 86289 and 86304 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86289 and 86304. First we will calculate the prime factors of 86289 and 86304.

Prime Factorization of 86289

Prime Factorization of 86304

Now multiplying the highest exponent prime factors to calculate the LCM of 86289 and 86304.

LCM(86289,86304) = 3¹ × 7² × 587¹ × 2⁵ × 29¹ × 31¹
LCM(86289,86304) = 2482361952