GCF and LCM Calculator Logo

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 (LCM) of 28128 and 28142 is 395789088.

LCM(28128,28142) = 395789088

LCM Calculator and
and

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 factors of 28128 are 2, 3, 293. Prime factorization of 28128 in exponential form is:

28128 = 25 × 31 × 2931

Prime Factorization of 28142

Prime factors of 28142 are 2, 14071. Prime factorization of 28142 in exponential form is:

28142 = 21 × 140711

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