GCF and LCM Calculator Logo

What is the Least Common Multiple of 28239 and 28247?

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 28239 and 28247 is 797667033.

LCM(28239,28247) = 797667033

LCM Calculator and
and

Least Common Multiple of 28239 and 28247 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28239 and 28247, than apply into the LCM equation.

GCF(28239,28247) = 1
LCM(28239,28247) = ( 28239 × 28247) / 1
LCM(28239,28247) = 797667033 / 1
LCM(28239,28247) = 797667033

Least Common Multiple (LCM) of 28239 and 28247 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28239 and 28247. First we will calculate the prime factors of 28239 and 28247.

Prime Factorization of 28239

Prime factors of 28239 are 3, 9413. Prime factorization of 28239 in exponential form is:

28239 = 31 × 94131

Prime Factorization of 28247

Prime factors of 28247 are 47, 601. Prime factorization of 28247 in exponential form is:

28247 = 471 × 6011

Now multiplying the highest exponent prime factors to calculate the LCM of 28239 and 28247.

LCM(28239,28247) = 31 × 94131 × 471 × 6011
LCM(28239,28247) = 797667033