What is the Least Common Multiple of 38594 and 38599?

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 38594 and 38599 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38594 and 38599, than apply into the LCM equation.

GCF(38594,38599) = 1
LCM(38594,38599) = ( 38594 × 38599) / 1
LCM(38594,38599) = 1489689806 / 1
LCM(38594,38599) = 1489689806

Least Common Multiple (LCM) of 38594 and 38599 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38594 and 38599. First we will calculate the prime factors of 38594 and 38599.

Prime Factorization of 38594

Prime Factorization of 38599

Now multiplying the highest exponent prime factors to calculate the LCM of 38594 and 38599.

LCM(38594,38599) = 2¹ × 23¹ × 839¹ × 11³ × 29¹
LCM(38594,38599) = 1489689806