GCF and LCM Calculator Logo

What is the Least Common Multiple of 27281 and 27287?

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 27281 and 27287 is 744416647.

LCM(27281,27287) = 744416647

LCM Calculator and
and

Least Common Multiple of 27281 and 27287 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27281 and 27287, than apply into the LCM equation.

GCF(27281,27287) = 1
LCM(27281,27287) = ( 27281 × 27287) / 1
LCM(27281,27287) = 744416647 / 1
LCM(27281,27287) = 744416647

Least Common Multiple (LCM) of 27281 and 27287 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27281 and 27287. First we will calculate the prime factors of 27281 and 27287.

Prime Factorization of 27281

Prime factors of 27281 are 27281. Prime factorization of 27281 in exponential form is:

27281 = 272811

Prime Factorization of 27287

Prime factors of 27287 are 13, 2099. Prime factorization of 27287 in exponential form is:

27287 = 131 × 20991

Now multiplying the highest exponent prime factors to calculate the LCM of 27281 and 27287.

LCM(27281,27287) = 272811 × 131 × 20991
LCM(27281,27287) = 744416647