What is the Least Common Multiple of 84299 and 84303?

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 84299 and 84303 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84299 and 84303, than apply into the LCM equation.

GCF(84299,84303) = 1
LCM(84299,84303) = ( 84299 × 84303) / 1
LCM(84299,84303) = 7106658597 / 1
LCM(84299,84303) = 7106658597

Least Common Multiple (LCM) of 84299 and 84303 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84299 and 84303. First we will calculate the prime factors of 84299 and 84303.

Prime Factorization of 84299

Prime Factorization of 84303

Now multiplying the highest exponent prime factors to calculate the LCM of 84299 and 84303.

LCM(84299,84303) = 84299¹ × 3² × 17¹ × 19¹ × 29¹
LCM(84299,84303) = 7106658597