What is the Least Common Multiple of 28676 and 28681?

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 28676 and 28681 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28676 and 28681, than apply into the LCM equation.

GCF(28676,28681) = 1
LCM(28676,28681) = ( 28676 × 28681) / 1
LCM(28676,28681) = 822456356 / 1
LCM(28676,28681) = 822456356

Least Common Multiple (LCM) of 28676 and 28681 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28676 and 28681. First we will calculate the prime factors of 28676 and 28681.

Prime Factorization of 28676

Prime Factorization of 28681

Now multiplying the highest exponent prime factors to calculate the LCM of 28676 and 28681.

LCM(28676,28681) = 2² × 67¹ × 107¹ × 23¹ × 29¹ × 43¹
LCM(28676,28681) = 822456356