GCF and LCM Calculator Logo

What is the Least Common Multiple of 27316 and 27327?

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 27316 and 27327 is 746464332.

LCM(27316,27327) = 746464332

LCM Calculator and
and

Least Common Multiple of 27316 and 27327 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27316 and 27327, than apply into the LCM equation.

GCF(27316,27327) = 1
LCM(27316,27327) = ( 27316 × 27327) / 1
LCM(27316,27327) = 746464332 / 1
LCM(27316,27327) = 746464332

Least Common Multiple (LCM) of 27316 and 27327 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27316 and 27327. First we will calculate the prime factors of 27316 and 27327.

Prime Factorization of 27316

Prime factors of 27316 are 2, 6829. Prime factorization of 27316 in exponential form is:

27316 = 22 × 68291

Prime Factorization of 27327

Prime factors of 27327 are 3, 9109. Prime factorization of 27327 in exponential form is:

27327 = 31 × 91091

Now multiplying the highest exponent prime factors to calculate the LCM of 27316 and 27327.

LCM(27316,27327) = 22 × 68291 × 31 × 91091
LCM(27316,27327) = 746464332