What is the Least Common Multiple of 34576 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 34576 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 34576 and 34593, than apply into the LCM equation.

GCF(34576,34593) = 1
LCM(34576,34593) = ( 34576 × 34593) / 1
LCM(34576,34593) = 1196087568 / 1
LCM(34576,34593) = 1196087568

Least Common Multiple (LCM) of 34576 and 34593 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34576 and 34593. First we will calculate the prime factors of 34576 and 34593.

Prime Factorization of 34576

Prime Factorization of 34593

Now multiplying the highest exponent prime factors to calculate the LCM of 34576 and 34593.

LCM(34576,34593) = 2⁴ × 2161¹ × 3¹ × 13¹ × 887¹
LCM(34576,34593) = 1196087568