What is the Least Common Multiple of 83830 and 83845?

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 83830 and 83845 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83830 and 83845, than apply into the LCM equation.

GCF(83830,83845) = 5
LCM(83830,83845) = ( 83830 × 83845) / 5
LCM(83830,83845) = 7028726350 / 5
LCM(83830,83845) = 1405745270

Least Common Multiple (LCM) of 83830 and 83845 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83830 and 83845. First we will calculate the prime factors of 83830 and 83845.

Prime Factorization of 83830

Prime Factorization of 83845

Now multiplying the highest exponent prime factors to calculate the LCM of 83830 and 83845.

LCM(83830,83845) = 2¹ × 5¹ × 83¹ × 101¹ × 41¹ × 409¹
LCM(83830,83845) = 1405745270