What is the Least Common Multiple of 18473 and 18489?

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 18473 and 18489 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18473 and 18489, than apply into the LCM equation.

GCF(18473,18489) = 1
LCM(18473,18489) = ( 18473 × 18489) / 1
LCM(18473,18489) = 341547297 / 1
LCM(18473,18489) = 341547297

Least Common Multiple (LCM) of 18473 and 18489 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18473 and 18489. First we will calculate the prime factors of 18473 and 18489.

Prime Factorization of 18473

Prime Factorization of 18489

Now multiplying the highest exponent prime factors to calculate the LCM of 18473 and 18489.

LCM(18473,18489) = 7² × 13¹ × 29¹ × 3¹ × 6163¹
LCM(18473,18489) = 341547297