What is the Least Common Multiple of 50825 and 50833?

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 50825 and 50833 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50825 and 50833, than apply into the LCM equation.

GCF(50825,50833) = 1
LCM(50825,50833) = ( 50825 × 50833) / 1
LCM(50825,50833) = 2583587225 / 1
LCM(50825,50833) = 2583587225

Least Common Multiple (LCM) of 50825 and 50833 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50825 and 50833. First we will calculate the prime factors of 50825 and 50833.

Prime Factorization of 50825

Prime Factorization of 50833

Now multiplying the highest exponent prime factors to calculate the LCM of 50825 and 50833.

LCM(50825,50833) = 5² × 19¹ × 107¹ × 50833¹
LCM(50825,50833) = 2583587225