What is the Least Common Multiple of 50009 and 50029?

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 50029 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 50029, than apply into the LCM equation.

GCF(50009,50029) = 1
LCM(50009,50029) = ( 50009 × 50029) / 1
LCM(50009,50029) = 2501900261 / 1
LCM(50009,50029) = 2501900261

Least Common Multiple (LCM) of 50009 and 50029 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50009 and 50029. First we will calculate the prime factors of 50009 and 50029.

Prime Factorization of 50009

Prime Factorization of 50029

Now multiplying the highest exponent prime factors to calculate the LCM of 50009 and 50029.

LCM(50009,50029) = 43¹ × 1163¹ × 7² × 1021¹
LCM(50009,50029) = 2501900261