What is the Least Common Multiple of 50830 and 50845?

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 50830 and 50845 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50830 and 50845, than apply into the LCM equation.

GCF(50830,50845) = 5
LCM(50830,50845) = ( 50830 × 50845) / 5
LCM(50830,50845) = 2584451350 / 5
LCM(50830,50845) = 516890270

Least Common Multiple (LCM) of 50830 and 50845 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50830 and 50845. First we will calculate the prime factors of 50830 and 50845.

Prime Factorization of 50830

Prime Factorization of 50845

Now multiplying the highest exponent prime factors to calculate the LCM of 50830 and 50845.

LCM(50830,50845) = 2¹ × 5¹ × 13¹ × 17¹ × 23¹ × 10169¹
LCM(50830,50845) = 516890270