GCF and LCM Calculator Logo

What is the Least Common Multiple of 28135 and 28144?

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 28135 and 28144 is 791831440.

LCM(28135,28144) = 791831440

LCM Calculator and
and

Least Common Multiple of 28135 and 28144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28135 and 28144, than apply into the LCM equation.

GCF(28135,28144) = 1
LCM(28135,28144) = ( 28135 × 28144) / 1
LCM(28135,28144) = 791831440 / 1
LCM(28135,28144) = 791831440

Least Common Multiple (LCM) of 28135 and 28144 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28135 and 28144. First we will calculate the prime factors of 28135 and 28144.

Prime Factorization of 28135

Prime factors of 28135 are 5, 17, 331. Prime factorization of 28135 in exponential form is:

28135 = 51 × 171 × 3311

Prime Factorization of 28144

Prime factors of 28144 are 2, 1759. Prime factorization of 28144 in exponential form is:

28144 = 24 × 17591

Now multiplying the highest exponent prime factors to calculate the LCM of 28135 and 28144.

LCM(28135,28144) = 51 × 171 × 3311 × 24 × 17591
LCM(28135,28144) = 791831440