What is the Least Common Multiple of 34585 and 34599?

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 34585 and 34599 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34585 and 34599, than apply into the LCM equation.

GCF(34585,34599) = 1
LCM(34585,34599) = ( 34585 × 34599) / 1
LCM(34585,34599) = 1196606415 / 1
LCM(34585,34599) = 1196606415

Least Common Multiple (LCM) of 34585 and 34599 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34585 and 34599. First we will calculate the prime factors of 34585 and 34599.

Prime Factorization of 34585

Prime Factorization of 34599

Now multiplying the highest exponent prime factors to calculate the LCM of 34585 and 34599.

LCM(34585,34599) = 5¹ × 6917¹ × 3¹ × 19¹ × 607¹
LCM(34585,34599) = 1196606415