GCF and LCM Calculator Logo

What is the Least Common Multiple of 12275 and 12289?

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 12275 and 12289 is 150847475.

LCM(12275,12289) = 150847475

LCM Calculator and
and

Least Common Multiple of 12275 and 12289 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12275 and 12289, than apply into the LCM equation.

GCF(12275,12289) = 1
LCM(12275,12289) = ( 12275 × 12289) / 1
LCM(12275,12289) = 150847475 / 1
LCM(12275,12289) = 150847475

Least Common Multiple (LCM) of 12275 and 12289 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12275 and 12289. First we will calculate the prime factors of 12275 and 12289.

Prime Factorization of 12275

Prime factors of 12275 are 5, 491. Prime factorization of 12275 in exponential form is:

12275 = 52 × 4911

Prime Factorization of 12289

Prime factors of 12289 are 12289. Prime factorization of 12289 in exponential form is:

12289 = 122891

Now multiplying the highest exponent prime factors to calculate the LCM of 12275 and 12289.

LCM(12275,12289) = 52 × 4911 × 122891
LCM(12275,12289) = 150847475