What is the Least Common Multiple of 18512 and 18529?

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 18512 and 18529 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18512 and 18529, than apply into the LCM equation.

GCF(18512,18529) = 1
LCM(18512,18529) = ( 18512 × 18529) / 1
LCM(18512,18529) = 343008848 / 1
LCM(18512,18529) = 343008848

Least Common Multiple (LCM) of 18512 and 18529 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18512 and 18529. First we will calculate the prime factors of 18512 and 18529.

Prime Factorization of 18512

Prime Factorization of 18529

Now multiplying the highest exponent prime factors to calculate the LCM of 18512 and 18529.

LCM(18512,18529) = 2⁴ × 13¹ × 89¹ × 7¹ × 2647¹
LCM(18512,18529) = 343008848