What is the Least Common Multiple of 83099 and 83107?

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 83099 and 83107 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83099 and 83107, than apply into the LCM equation.

GCF(83099,83107) = 1
LCM(83099,83107) = ( 83099 × 83107) / 1
LCM(83099,83107) = 6906108593 / 1
LCM(83099,83107) = 6906108593

Least Common Multiple (LCM) of 83099 and 83107 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83099 and 83107. First we will calculate the prime factors of 83099 and 83107.

Prime Factorization of 83099

Prime Factorization of 83107

Now multiplying the highest exponent prime factors to calculate the LCM of 83099 and 83107.

LCM(83099,83107) = 23¹ × 3613¹ × 41¹ × 2027¹
LCM(83099,83107) = 6906108593