What is the Least Common Multiple of 28128 and 28142?

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 28128 and 28142 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28128 and 28142, than apply into the LCM equation.

GCF(28128,28142) = 2
LCM(28128,28142) = ( 28128 × 28142) / 2
LCM(28128,28142) = 791578176 / 2
LCM(28128,28142) = 395789088

Least Common Multiple (LCM) of 28128 and 28142 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28128 and 28142. First we will calculate the prime factors of 28128 and 28142.

Prime Factorization of 28128

Prime Factorization of 28142

Now multiplying the highest exponent prime factors to calculate the LCM of 28128 and 28142.

LCM(28128,28142) = 2⁵ × 3¹ × 293¹ × 14071¹
LCM(28128,28142) = 395789088