What is the Least Common Multiple of 32039 and 32045?

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 32039 and 32045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32039 and 32045, than apply into the LCM equation.

GCF(32039,32045) = 1
LCM(32039,32045) = ( 32039 × 32045) / 1
LCM(32039,32045) = 1026689755 / 1
LCM(32039,32045) = 1026689755

Least Common Multiple (LCM) of 32039 and 32045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32039 and 32045. First we will calculate the prime factors of 32039 and 32045.

Prime Factorization of 32039

Prime Factorization of 32045

Now multiplying the highest exponent prime factors to calculate the LCM of 32039 and 32045.

LCM(32039,32045) = 7¹ × 23¹ × 199¹ × 5¹ × 13¹ × 17¹ × 29¹
LCM(32039,32045) = 1026689755