What is the Least Common Multiple of 50916 and 50933?

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 50916 and 50933 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50916 and 50933, than apply into the LCM equation.

GCF(50916,50933) = 1
LCM(50916,50933) = ( 50916 × 50933) / 1
LCM(50916,50933) = 2593304628 / 1
LCM(50916,50933) = 2593304628

Least Common Multiple (LCM) of 50916 and 50933 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50916 and 50933. First we will calculate the prime factors of 50916 and 50933.

Prime Factorization of 50916

Prime Factorization of 50933

Now multiplying the highest exponent prime factors to calculate the LCM of 50916 and 50933.

LCM(50916,50933) = 2² × 3¹ × 4243¹ × 31² × 53¹
LCM(50916,50933) = 2593304628