What is the Least Common Multiple of 13478 and 13489?

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 13478 and 13489 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13478 and 13489, than apply into the LCM equation.

GCF(13478,13489) = 1
LCM(13478,13489) = ( 13478 × 13489) / 1
LCM(13478,13489) = 181804742 / 1
LCM(13478,13489) = 181804742

Least Common Multiple (LCM) of 13478 and 13489 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13478 and 13489. First we will calculate the prime factors of 13478 and 13489.

Prime Factorization of 13478

Prime Factorization of 13489

Now multiplying the highest exponent prime factors to calculate the LCM of 13478 and 13489.

LCM(13478,13489) = 2¹ × 23¹ × 293¹ × 7¹ × 41¹ × 47¹
LCM(13478,13489) = 181804742