GCF and LCM Calculator Logo

What is the Least Common Multiple of 13266 and 13281?

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 13266 and 13281 is 58728582.

LCM(13266,13281) = 58728582

LCM Calculator and
and

Least Common Multiple of 13266 and 13281 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13266 and 13281, than apply into the LCM equation.

GCF(13266,13281) = 3
LCM(13266,13281) = ( 13266 × 13281) / 3
LCM(13266,13281) = 176185746 / 3
LCM(13266,13281) = 58728582

Least Common Multiple (LCM) of 13266 and 13281 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13266 and 13281. First we will calculate the prime factors of 13266 and 13281.

Prime Factorization of 13266

Prime factors of 13266 are 2, 3, 11, 67. Prime factorization of 13266 in exponential form is:

13266 = 21 × 32 × 111 × 671

Prime Factorization of 13281

Prime factors of 13281 are 3, 19, 233. Prime factorization of 13281 in exponential form is:

13281 = 31 × 191 × 2331

Now multiplying the highest exponent prime factors to calculate the LCM of 13266 and 13281.

LCM(13266,13281) = 21 × 32 × 111 × 671 × 191 × 2331
LCM(13266,13281) = 58728582