What is the Least Common Multiple of 50013 and 50031?

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 50013 and 50031 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50013 and 50031, than apply into the LCM equation.

GCF(50013,50031) = 9
LCM(50013,50031) = ( 50013 × 50031) / 9
LCM(50013,50031) = 2502200403 / 9
LCM(50013,50031) = 278022267

Least Common Multiple (LCM) of 50013 and 50031 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50013 and 50031. First we will calculate the prime factors of 50013 and 50031.

Prime Factorization of 50013

Prime Factorization of 50031

Now multiplying the highest exponent prime factors to calculate the LCM of 50013 and 50031.

LCM(50013,50031) = 3³ × 5557¹ × 17¹ × 109¹
LCM(50013,50031) = 278022267