What is the Least Common Multiple of 28671 and 28686?

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 28671 and 28686 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28671 and 28686, than apply into the LCM equation.

GCF(28671,28686) = 3
LCM(28671,28686) = ( 28671 × 28686) / 3
LCM(28671,28686) = 822456306 / 3
LCM(28671,28686) = 274152102

Least Common Multiple (LCM) of 28671 and 28686 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28671 and 28686. First we will calculate the prime factors of 28671 and 28686.

Prime Factorization of 28671

Prime Factorization of 28686

Now multiplying the highest exponent prime factors to calculate the LCM of 28671 and 28686.

LCM(28671,28686) = 3¹ × 19¹ × 503¹ × 2¹ × 7¹ × 683¹
LCM(28671,28686) = 274152102