What is the Least Common Multiple of 50405 and 50423?

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 50405 and 50423 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50405 and 50423, than apply into the LCM equation.

GCF(50405,50423) = 1
LCM(50405,50423) = ( 50405 × 50423) / 1
LCM(50405,50423) = 2541571315 / 1
LCM(50405,50423) = 2541571315

Least Common Multiple (LCM) of 50405 and 50423 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50405 and 50423. First we will calculate the prime factors of 50405 and 50423.

Prime Factorization of 50405

Prime Factorization of 50423

Now multiplying the highest exponent prime factors to calculate the LCM of 50405 and 50423.

LCM(50405,50423) = 5¹ × 17¹ × 593¹ × 50423¹
LCM(50405,50423) = 2541571315