What is the Least Common Multiple of 50023 and 50043?

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 50023 and 50043 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50023 and 50043, than apply into the LCM equation.

GCF(50023,50043) = 1
LCM(50023,50043) = ( 50023 × 50043) / 1
LCM(50023,50043) = 2503300989 / 1
LCM(50023,50043) = 2503300989

Least Common Multiple (LCM) of 50023 and 50043 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50023 and 50043. First we will calculate the prime factors of 50023 and 50043.

Prime Factorization of 50023

Prime Factorization of 50043

Now multiplying the highest exponent prime factors to calculate the LCM of 50023 and 50043.

LCM(50023,50043) = 50023¹ × 3¹ × 7¹ × 2383¹
LCM(50023,50043) = 2503300989