GCF and LCM Calculator Logo

What is the Least Common Multiple of 28283 and 28302?

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 28283 and 28302 is 800465466.

LCM(28283,28302) = 800465466

LCM Calculator and
and

Least Common Multiple of 28283 and 28302 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28283 and 28302, than apply into the LCM equation.

GCF(28283,28302) = 1
LCM(28283,28302) = ( 28283 × 28302) / 1
LCM(28283,28302) = 800465466 / 1
LCM(28283,28302) = 800465466

Least Common Multiple (LCM) of 28283 and 28302 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28283 and 28302. First we will calculate the prime factors of 28283 and 28302.

Prime Factorization of 28283

Prime factors of 28283 are 28283. Prime factorization of 28283 in exponential form is:

28283 = 282831

Prime Factorization of 28302

Prime factors of 28302 are 2, 3, 53, 89. Prime factorization of 28302 in exponential form is:

28302 = 21 × 31 × 531 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 28283 and 28302.

LCM(28283,28302) = 282831 × 21 × 31 × 531 × 891
LCM(28283,28302) = 800465466