What is the Least Common Multiple of 38488 and 38493?

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 38488 and 38493 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38488 and 38493, than apply into the LCM equation.

GCF(38488,38493) = 1
LCM(38488,38493) = ( 38488 × 38493) / 1
LCM(38488,38493) = 1481518584 / 1
LCM(38488,38493) = 1481518584

Least Common Multiple (LCM) of 38488 and 38493 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38488 and 38493. First we will calculate the prime factors of 38488 and 38493.

Prime Factorization of 38488

Prime Factorization of 38493

Now multiplying the highest exponent prime factors to calculate the LCM of 38488 and 38493.

LCM(38488,38493) = 2³ × 17¹ × 283¹ × 3² × 7¹ × 13¹ × 47¹
LCM(38488,38493) = 1481518584