What is the Least Common Multiple of 50017 and 50036?

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 50017 and 50036 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50017 and 50036, than apply into the LCM equation.

GCF(50017,50036) = 1
LCM(50017,50036) = ( 50017 × 50036) / 1
LCM(50017,50036) = 2502650612 / 1
LCM(50017,50036) = 2502650612

Least Common Multiple (LCM) of 50017 and 50036 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50017 and 50036. First we will calculate the prime factors of 50017 and 50036.

Prime Factorization of 50017

Prime Factorization of 50036

Now multiplying the highest exponent prime factors to calculate the LCM of 50017 and 50036.

LCM(50017,50036) = 11¹ × 4547¹ × 2² × 7¹ × 1787¹
LCM(50017,50036) = 2502650612