What is the Least Common Multiple of 50914 and 50923?

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 50914 and 50923 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50914 and 50923, than apply into the LCM equation.

GCF(50914,50923) = 1
LCM(50914,50923) = ( 50914 × 50923) / 1
LCM(50914,50923) = 2592693622 / 1
LCM(50914,50923) = 2592693622

Least Common Multiple (LCM) of 50914 and 50923 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50914 and 50923. First we will calculate the prime factors of 50914 and 50923.

Prime Factorization of 50914

Prime Factorization of 50923

Now multiplying the highest exponent prime factors to calculate the LCM of 50914 and 50923.

LCM(50914,50923) = 2¹ × 25457¹ × 50923¹
LCM(50914,50923) = 2592693622