What is the Least Common Multiple of 28872 and 28892?

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 28892 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 28892, than apply into the LCM equation.

GCF(28872,28892) = 4
LCM(28872,28892) = ( 28872 × 28892) / 4
LCM(28872,28892) = 834169824 / 4
LCM(28872,28892) = 208542456

Least Common Multiple (LCM) of 28872 and 28892 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28872 and 28892. First we will calculate the prime factors of 28872 and 28892.

Prime Factorization of 28872

Prime Factorization of 28892

Now multiplying the highest exponent prime factors to calculate the LCM of 28872 and 28892.

LCM(28872,28892) = 2³ × 3² × 401¹ × 31¹ × 233¹
LCM(28872,28892) = 208542456