What is the Least Common Multiple of 28336 and 28349?

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 28336 and 28349 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28336 and 28349, than apply into the LCM equation.

GCF(28336,28349) = 1
LCM(28336,28349) = ( 28336 × 28349) / 1
LCM(28336,28349) = 803297264 / 1
LCM(28336,28349) = 803297264

Least Common Multiple (LCM) of 28336 and 28349 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28336 and 28349. First we will calculate the prime factors of 28336 and 28349.

Prime Factorization of 28336

Prime Factorization of 28349

Now multiplying the highest exponent prime factors to calculate the LCM of 28336 and 28349.

LCM(28336,28349) = 2⁴ × 7¹ × 11¹ × 23¹ × 28349¹
LCM(28336,28349) = 803297264