What is the Least Common Multiple of 16838 and 16850?

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 16838 and 16850 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16838 and 16850, than apply into the LCM equation.

GCF(16838,16850) = 2
LCM(16838,16850) = ( 16838 × 16850) / 2
LCM(16838,16850) = 283720300 / 2
LCM(16838,16850) = 141860150

Least Common Multiple (LCM) of 16838 and 16850 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16838 and 16850. First we will calculate the prime factors of 16838 and 16850.

Prime Factorization of 16838

Prime Factorization of 16850

Now multiplying the highest exponent prime factors to calculate the LCM of 16838 and 16850.

LCM(16838,16850) = 2¹ × 8419¹ × 5² × 337¹
LCM(16838,16850) = 141860150