What is the Least Common Multiple of 50004 and 50019?

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 50004 and 50019 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50004 and 50019, than apply into the LCM equation.

GCF(50004,50019) = 3
LCM(50004,50019) = ( 50004 × 50019) / 3
LCM(50004,50019) = 2501150076 / 3
LCM(50004,50019) = 833716692

Least Common Multiple (LCM) of 50004 and 50019 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50004 and 50019. First we will calculate the prime factors of 50004 and 50019.

Prime Factorization of 50004

Prime Factorization of 50019

Now multiplying the highest exponent prime factors to calculate the LCM of 50004 and 50019.

LCM(50004,50019) = 2² × 3³ × 463¹ × 16673¹
LCM(50004,50019) = 833716692