What is the Least Common Multiple of 38021 and 38039?

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 38021 and 38039 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38021 and 38039, than apply into the LCM equation.

GCF(38021,38039) = 1
LCM(38021,38039) = ( 38021 × 38039) / 1
LCM(38021,38039) = 1446280819 / 1
LCM(38021,38039) = 1446280819

Least Common Multiple (LCM) of 38021 and 38039 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38021 and 38039. First we will calculate the prime factors of 38021 and 38039.

Prime Factorization of 38021

Prime Factorization of 38039

Now multiplying the highest exponent prime factors to calculate the LCM of 38021 and 38039.

LCM(38021,38039) = 193¹ × 197¹ × 38039¹
LCM(38021,38039) = 1446280819