What is the Least Common Multiple of 38000 and 38017?

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 38000 and 38017 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38000 and 38017, than apply into the LCM equation.

GCF(38000,38017) = 1
LCM(38000,38017) = ( 38000 × 38017) / 1
LCM(38000,38017) = 1444646000 / 1
LCM(38000,38017) = 1444646000

Least Common Multiple (LCM) of 38000 and 38017 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38000 and 38017. First we will calculate the prime factors of 38000 and 38017.

Prime Factorization of 38000

Prime Factorization of 38017

Now multiplying the highest exponent prime factors to calculate the LCM of 38000 and 38017.

LCM(38000,38017) = 2⁴ × 5³ × 19¹ × 7¹ × 5431¹
LCM(38000,38017) = 1444646000