What is the Least Common Multiple of 99297 and 99303?

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 99297 and 99303 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99297 and 99303, than apply into the LCM equation.

GCF(99297,99303) = 3
LCM(99297,99303) = ( 99297 × 99303) / 3
LCM(99297,99303) = 9860489991 / 3
LCM(99297,99303) = 3286829997

Least Common Multiple (LCM) of 99297 and 99303 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99297 and 99303. First we will calculate the prime factors of 99297 and 99303.

Prime Factorization of 99297

Prime Factorization of 99303

Now multiplying the highest exponent prime factors to calculate the LCM of 99297 and 99303.

LCM(99297,99303) = 3² × 11¹ × 17¹ × 59¹ × 79¹ × 419¹
LCM(99297,99303) = 3286829997