What is the Least Common Multiple of 86586 and 86592?

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 86586 and 86592 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86586 and 86592, than apply into the LCM equation.

GCF(86586,86592) = 6
LCM(86586,86592) = ( 86586 × 86592) / 6
LCM(86586,86592) = 7497654912 / 6
LCM(86586,86592) = 1249609152

Least Common Multiple (LCM) of 86586 and 86592 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86586 and 86592. First we will calculate the prime factors of 86586 and 86592.

Prime Factorization of 86586

Prime Factorization of 86592

Now multiplying the highest exponent prime factors to calculate the LCM of 86586 and 86592.

LCM(86586,86592) = 2⁶ × 3¹ × 14431¹ × 11¹ × 41¹
LCM(86586,86592) = 1249609152