What is the Least Common Multiple of 50313 and 50332?

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 50313 and 50332 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50313 and 50332, than apply into the LCM equation.

GCF(50313,50332) = 1
LCM(50313,50332) = ( 50313 × 50332) / 1
LCM(50313,50332) = 2532353916 / 1
LCM(50313,50332) = 2532353916

Least Common Multiple (LCM) of 50313 and 50332 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50313 and 50332. First we will calculate the prime factors of 50313 and 50332.

Prime Factorization of 50313

Prime Factorization of 50332

Now multiplying the highest exponent prime factors to calculate the LCM of 50313 and 50332.

LCM(50313,50332) = 3¹ × 31¹ × 541¹ × 2² × 12583¹
LCM(50313,50332) = 2532353916