What is the Least Common Multiple of 28689 and 28707?

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 28689 and 28707 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28689 and 28707, than apply into the LCM equation.

GCF(28689,28707) = 3
LCM(28689,28707) = ( 28689 × 28707) / 3
LCM(28689,28707) = 823575123 / 3
LCM(28689,28707) = 274525041

Least Common Multiple (LCM) of 28689 and 28707 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28689 and 28707. First we will calculate the prime factors of 28689 and 28707.

Prime Factorization of 28689

Prime Factorization of 28707

Now multiplying the highest exponent prime factors to calculate the LCM of 28689 and 28707.

LCM(28689,28707) = 3¹ × 73¹ × 131¹ × 7¹ × 1367¹
LCM(28689,28707) = 274525041