What is the Least Common Multiple of 18469 and 18487?

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 18469 and 18487 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18469 and 18487, than apply into the LCM equation.

GCF(18469,18487) = 1
LCM(18469,18487) = ( 18469 × 18487) / 1
LCM(18469,18487) = 341436403 / 1
LCM(18469,18487) = 341436403

Least Common Multiple (LCM) of 18469 and 18487 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18469 and 18487. First we will calculate the prime factors of 18469 and 18487.

Prime Factorization of 18469

Prime Factorization of 18487

Now multiplying the highest exponent prime factors to calculate the LCM of 18469 and 18487.

LCM(18469,18487) = 11¹ × 23¹ × 73¹ × 7¹ × 19¹ × 139¹
LCM(18469,18487) = 341436403