GCF and LCM Calculator Logo

What is the Least Common Multiple of 27239 and 27259?

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 27239 and 27259 is 742507901.

LCM(27239,27259) = 742507901

LCM Calculator and
and

Least Common Multiple of 27239 and 27259 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27239 and 27259, than apply into the LCM equation.

GCF(27239,27259) = 1
LCM(27239,27259) = ( 27239 × 27259) / 1
LCM(27239,27259) = 742507901 / 1
LCM(27239,27259) = 742507901

Least Common Multiple (LCM) of 27239 and 27259 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27239 and 27259. First we will calculate the prime factors of 27239 and 27259.

Prime Factorization of 27239

Prime factors of 27239 are 27239. Prime factorization of 27239 in exponential form is:

27239 = 272391

Prime Factorization of 27259

Prime factors of 27259 are 27259. Prime factorization of 27259 in exponential form is:

27259 = 272591

Now multiplying the highest exponent prime factors to calculate the LCM of 27239 and 27259.

LCM(27239,27259) = 272391 × 272591
LCM(27239,27259) = 742507901