What is the Least Common Multiple of 50491 and 50511?

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 50491 and 50511 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50491 and 50511, than apply into the LCM equation.

GCF(50491,50511) = 1
LCM(50491,50511) = ( 50491 × 50511) / 1
LCM(50491,50511) = 2550350901 / 1
LCM(50491,50511) = 2550350901

Least Common Multiple (LCM) of 50491 and 50511 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50491 and 50511. First we will calculate the prime factors of 50491 and 50511.

Prime Factorization of 50491

Prime Factorization of 50511

Now multiplying the highest exponent prime factors to calculate the LCM of 50491 and 50511.

LCM(50491,50511) = 7¹ × 7213¹ × 3¹ × 113¹ × 149¹
LCM(50491,50511) = 2550350901