What is the Least Common Multiple of 83299 and 83317?

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 83299 and 83317 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83299 and 83317, than apply into the LCM equation.

GCF(83299,83317) = 1
LCM(83299,83317) = ( 83299 × 83317) / 1
LCM(83299,83317) = 6940222783 / 1
LCM(83299,83317) = 6940222783

Least Common Multiple (LCM) of 83299 and 83317 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83299 and 83317. First we will calculate the prime factors of 83299 and 83317.

Prime Factorization of 83299

Prime Factorization of 83317

Now multiplying the highest exponent prime factors to calculate the LCM of 83299 and 83317.

LCM(83299,83317) = 83299¹ × 13² × 17¹ × 29¹
LCM(83299,83317) = 6940222783