What is the Least Common Multiple of 50213 and 50233?

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 50213 and 50233 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50213 and 50233, than apply into the LCM equation.

GCF(50213,50233) = 1
LCM(50213,50233) = ( 50213 × 50233) / 1
LCM(50213,50233) = 2522349629 / 1
LCM(50213,50233) = 2522349629

Least Common Multiple (LCM) of 50213 and 50233 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50213 and 50233. First we will calculate the prime factors of 50213 and 50233.

Prime Factorization of 50213

Prime Factorization of 50233

Now multiplying the highest exponent prime factors to calculate the LCM of 50213 and 50233.

LCM(50213,50233) = 149¹ × 337¹ × 191¹ × 263¹
LCM(50213,50233) = 2522349629