What is the Least Common Multiple of 93296 and 93303?

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 93296 and 93303 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93296 and 93303, than apply into the LCM equation.

GCF(93296,93303) = 7
LCM(93296,93303) = ( 93296 × 93303) / 7
LCM(93296,93303) = 8704796688 / 7
LCM(93296,93303) = 1243542384

Least Common Multiple (LCM) of 93296 and 93303 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93296 and 93303. First we will calculate the prime factors of 93296 and 93303.

Prime Factorization of 93296

Prime Factorization of 93303

Now multiplying the highest exponent prime factors to calculate the LCM of 93296 and 93303.

LCM(93296,93303) = 2⁴ × 7³ × 17¹ × 3² × 1481¹
LCM(93296,93303) = 1243542384