What is the Least Common Multiple of 86592 and 86599?

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 86592 and 86599 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86592 and 86599, than apply into the LCM equation.

GCF(86592,86599) = 1
LCM(86592,86599) = ( 86592 × 86599) / 1
LCM(86592,86599) = 7498780608 / 1
LCM(86592,86599) = 7498780608

Least Common Multiple (LCM) of 86592 and 86599 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86592 and 86599. First we will calculate the prime factors of 86592 and 86599.

Prime Factorization of 86592

Prime Factorization of 86599

Now multiplying the highest exponent prime factors to calculate the LCM of 86592 and 86599.

LCM(86592,86599) = 2⁶ × 3¹ × 11¹ × 41¹ × 86599¹
LCM(86592,86599) = 7498780608