GCF and LCM Calculator Logo

What is the Least Common Multiple of 28293 and 28303?

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 (LCM) of 28293 and 28303 is 800776779.

LCM(28293,28303) = 800776779

LCM Calculator and
and

Least Common Multiple of 28293 and 28303 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28293 and 28303, than apply into the LCM equation.

GCF(28293,28303) = 1
LCM(28293,28303) = ( 28293 × 28303) / 1
LCM(28293,28303) = 800776779 / 1
LCM(28293,28303) = 800776779

Least Common Multiple (LCM) of 28293 and 28303 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28293 and 28303. First we will calculate the prime factors of 28293 and 28303.

Prime Factorization of 28293

Prime factors of 28293 are 3, 9431. Prime factorization of 28293 in exponential form is:

28293 = 31 × 94311

Prime Factorization of 28303

Prime factors of 28303 are 11, 31, 83. Prime factorization of 28303 in exponential form is:

28303 = 111 × 311 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 28293 and 28303.

LCM(28293,28303) = 31 × 94311 × 111 × 311 × 831
LCM(28293,28303) = 800776779