What is the Least Common Multiple of 50307 and 50321?

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 50307 and 50321 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50307 and 50321, than apply into the LCM equation.

GCF(50307,50321) = 1
LCM(50307,50321) = ( 50307 × 50321) / 1
LCM(50307,50321) = 2531498547 / 1
LCM(50307,50321) = 2531498547

Least Common Multiple (LCM) of 50307 and 50321 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50307 and 50321. First we will calculate the prime factors of 50307 and 50321.

Prime Factorization of 50307

Prime Factorization of 50321

Now multiplying the highest exponent prime factors to calculate the LCM of 50307 and 50321.

LCM(50307,50321) = 3¹ × 41¹ × 409¹ × 50321¹
LCM(50307,50321) = 2531498547