What is the Least Common Multiple of 83845 and 83864?

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 83845 and 83864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83845 and 83864, than apply into the LCM equation.

GCF(83845,83864) = 1
LCM(83845,83864) = ( 83845 × 83864) / 1
LCM(83845,83864) = 7031577080 / 1
LCM(83845,83864) = 7031577080

Least Common Multiple (LCM) of 83845 and 83864 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83845 and 83864. First we will calculate the prime factors of 83845 and 83864.

Prime Factorization of 83845

Prime Factorization of 83864

Now multiplying the highest exponent prime factors to calculate the LCM of 83845 and 83864.

LCM(83845,83864) = 5¹ × 41¹ × 409¹ × 2³ × 11¹ × 953¹
LCM(83845,83864) = 7031577080