What is the Least Common Multiple of 34574 and 34589?

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 34574 and 34589 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34574 and 34589, than apply into the LCM equation.

GCF(34574,34589) = 1
LCM(34574,34589) = ( 34574 × 34589) / 1
LCM(34574,34589) = 1195880086 / 1
LCM(34574,34589) = 1195880086

Least Common Multiple (LCM) of 34574 and 34589 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34574 and 34589. First we will calculate the prime factors of 34574 and 34589.

Prime Factorization of 34574

Prime Factorization of 34589

Now multiplying the highest exponent prime factors to calculate the LCM of 34574 and 34589.

LCM(34574,34589) = 2¹ × 59¹ × 293¹ × 34589¹
LCM(34574,34589) = 1195880086