What is the Least Common Multiple of 50051 and 50071?

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 50051 and 50071 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50051 and 50071, than apply into the LCM equation.

GCF(50051,50071) = 1
LCM(50051,50071) = ( 50051 × 50071) / 1
LCM(50051,50071) = 2506103621 / 1
LCM(50051,50071) = 2506103621

Least Common Multiple (LCM) of 50051 and 50071 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50051 and 50071. First we will calculate the prime factors of 50051 and 50071.

Prime Factorization of 50051

Prime Factorization of 50071

Now multiplying the highest exponent prime factors to calculate the LCM of 50051 and 50071.

LCM(50051,50071) = 50051¹ × 7¹ × 23¹ × 311¹
LCM(50051,50071) = 2506103621