What is the Least Common Multiple of 50009 and 50027?

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 50009 and 50027 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50009 and 50027, than apply into the LCM equation.

GCF(50009,50027) = 1
LCM(50009,50027) = ( 50009 × 50027) / 1
LCM(50009,50027) = 2501800243 / 1
LCM(50009,50027) = 2501800243

Least Common Multiple (LCM) of 50009 and 50027 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50009 and 50027. First we will calculate the prime factors of 50009 and 50027.

Prime Factorization of 50009

Prime Factorization of 50027

Now multiplying the highest exponent prime factors to calculate the LCM of 50009 and 50027.

LCM(50009,50027) = 43¹ × 1163¹ × 19¹ × 2633¹
LCM(50009,50027) = 2501800243