What is the Least Common Multiple of 28872 and 28878?

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 28872 and 28878 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28872 and 28878, than apply into the LCM equation.

GCF(28872,28878) = 6
LCM(28872,28878) = ( 28872 × 28878) / 6
LCM(28872,28878) = 833765616 / 6
LCM(28872,28878) = 138960936

Least Common Multiple (LCM) of 28872 and 28878 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28872 and 28878. First we will calculate the prime factors of 28872 and 28878.

Prime Factorization of 28872

Prime Factorization of 28878

Now multiplying the highest exponent prime factors to calculate the LCM of 28872 and 28878.

LCM(28872,28878) = 2³ × 3² × 401¹ × 4813¹
LCM(28872,28878) = 138960936