What is the Least Common Multiple of 38469 and 38487?

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 38469 and 38487 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38469 and 38487, than apply into the LCM equation.

GCF(38469,38487) = 3
LCM(38469,38487) = ( 38469 × 38487) / 3
LCM(38469,38487) = 1480556403 / 3
LCM(38469,38487) = 493518801

Least Common Multiple (LCM) of 38469 and 38487 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38469 and 38487. First we will calculate the prime factors of 38469 and 38487.

Prime Factorization of 38469

Prime Factorization of 38487

Now multiplying the highest exponent prime factors to calculate the LCM of 38469 and 38487.

LCM(38469,38487) = 3¹ × 12823¹ × 12829¹
LCM(38469,38487) = 493518801