What is the Least Common Multiple of 8584 and 8599?

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 8584 and 8599 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8584 and 8599, than apply into the LCM equation.

GCF(8584,8599) = 1
LCM(8584,8599) = ( 8584 × 8599) / 1
LCM(8584,8599) = 73813816 / 1
LCM(8584,8599) = 73813816

Least Common Multiple (LCM) of 8584 and 8599 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8584 and 8599. First we will calculate the prime factors of 8584 and 8599.

Prime Factorization of 8584

Prime Factorization of 8599

Now multiplying the highest exponent prime factors to calculate the LCM of 8584 and 8599.

LCM(8584,8599) = 2³ × 29¹ × 37¹ × 8599¹
LCM(8584,8599) = 73813816