What is the Least Common Multiple of 32021 and 32039?

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 32021 and 32039 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32021 and 32039, than apply into the LCM equation.

GCF(32021,32039) = 1
LCM(32021,32039) = ( 32021 × 32039) / 1
LCM(32021,32039) = 1025920819 / 1
LCM(32021,32039) = 1025920819

Least Common Multiple (LCM) of 32021 and 32039 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32021 and 32039. First we will calculate the prime factors of 32021 and 32039.

Prime Factorization of 32021

Prime Factorization of 32039

Now multiplying the highest exponent prime factors to calculate the LCM of 32021 and 32039.

LCM(32021,32039) = 11¹ × 41¹ × 71¹ × 7¹ × 23¹ × 199¹
LCM(32021,32039) = 1025920819