What is the Least Common Multiple of 50020 and 50039?

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 50020 and 50039 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50020 and 50039, than apply into the LCM equation.

GCF(50020,50039) = 1
LCM(50020,50039) = ( 50020 × 50039) / 1
LCM(50020,50039) = 2502950780 / 1
LCM(50020,50039) = 2502950780

Least Common Multiple (LCM) of 50020 and 50039 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50020 and 50039. First we will calculate the prime factors of 50020 and 50039.

Prime Factorization of 50020

Prime Factorization of 50039

Now multiplying the highest exponent prime factors to calculate the LCM of 50020 and 50039.

LCM(50020,50039) = 2² × 5¹ × 41¹ × 61¹ × 11¹ × 4549¹
LCM(50020,50039) = 2502950780