What is the Least Common Multiple of 50407 and 50421?

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 50407 and 50421 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50407 and 50421, than apply into the LCM equation.

GCF(50407,50421) = 7
LCM(50407,50421) = ( 50407 × 50421) / 7
LCM(50407,50421) = 2541571347 / 7
LCM(50407,50421) = 363081621

Least Common Multiple (LCM) of 50407 and 50421 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50407 and 50421. First we will calculate the prime factors of 50407 and 50421.

Prime Factorization of 50407

Prime Factorization of 50421

Now multiplying the highest exponent prime factors to calculate the LCM of 50407 and 50421.

LCM(50407,50421) = 7⁵ × 19¹ × 379¹ × 3¹
LCM(50407,50421) = 363081621