What is the Least Common Multiple of 34574 and 34593?

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 34593 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 34593, than apply into the LCM equation.

GCF(34574,34593) = 1
LCM(34574,34593) = ( 34574 × 34593) / 1
LCM(34574,34593) = 1196018382 / 1
LCM(34574,34593) = 1196018382

Least Common Multiple (LCM) of 34574 and 34593 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34574 and 34593. First we will calculate the prime factors of 34574 and 34593.

Prime Factorization of 34574

Prime Factorization of 34593

Now multiplying the highest exponent prime factors to calculate the LCM of 34574 and 34593.

LCM(34574,34593) = 2¹ × 59¹ × 293¹ × 3¹ × 13¹ × 887¹
LCM(34574,34593) = 1196018382