What is the Least Common Multiple of 28675 and 28684?

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 28675 and 28684 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28675 and 28684, than apply into the LCM equation.

GCF(28675,28684) = 1
LCM(28675,28684) = ( 28675 × 28684) / 1
LCM(28675,28684) = 822513700 / 1
LCM(28675,28684) = 822513700

Least Common Multiple (LCM) of 28675 and 28684 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28675 and 28684. First we will calculate the prime factors of 28675 and 28684.

Prime Factorization of 28675

Prime Factorization of 28684

Now multiplying the highest exponent prime factors to calculate the LCM of 28675 and 28684.

LCM(28675,28684) = 5² × 31¹ × 37¹ × 2² × 71¹ × 101¹
LCM(28675,28684) = 822513700