What is the Least Common Multiple of 28878 and 28896?

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 28878 and 28896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28878 and 28896, than apply into the LCM equation.

GCF(28878,28896) = 6
LCM(28878,28896) = ( 28878 × 28896) / 6
LCM(28878,28896) = 834458688 / 6
LCM(28878,28896) = 139076448

Least Common Multiple (LCM) of 28878 and 28896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28878 and 28896. First we will calculate the prime factors of 28878 and 28896.

Prime Factorization of 28878

Prime Factorization of 28896

Now multiplying the highest exponent prime factors to calculate the LCM of 28878 and 28896.

LCM(28878,28896) = 2⁵ × 3¹ × 4813¹ × 7¹ × 43¹
LCM(28878,28896) = 139076448