What is the Least Common Multiple of 83283 and 83303?

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 83283 and 83303 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83283 and 83303, than apply into the LCM equation.

GCF(83283,83303) = 1
LCM(83283,83303) = ( 83283 × 83303) / 1
LCM(83283,83303) = 6937723749 / 1
LCM(83283,83303) = 6937723749

Least Common Multiple (LCM) of 83283 and 83303 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83283 and 83303. First we will calculate the prime factors of 83283 and 83303.

Prime Factorization of 83283

Prime Factorization of 83303

Now multiplying the highest exponent prime factors to calculate the LCM of 83283 and 83303.

LCM(83283,83303) = 3¹ × 17¹ × 23¹ × 71¹ × 11¹ × 7573¹
LCM(83283,83303) = 6937723749