What is the Least Common Multiple of 41028 and 41039?

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 41028 and 41039 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41028 and 41039, than apply into the LCM equation.

GCF(41028,41039) = 1
LCM(41028,41039) = ( 41028 × 41039) / 1
LCM(41028,41039) = 1683748092 / 1
LCM(41028,41039) = 1683748092

Least Common Multiple (LCM) of 41028 and 41039 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41028 and 41039. First we will calculate the prime factors of 41028 and 41039.

Prime Factorization of 41028

Prime Factorization of 41039

Now multiplying the highest exponent prime factors to calculate the LCM of 41028 and 41039.

LCM(41028,41039) = 2² × 3¹ × 13¹ × 263¹ × 41039¹
LCM(41028,41039) = 1683748092