GCF and LCM Calculator Logo

What is the Least Common Multiple of 12269 and 12276?

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 12269 and 12276 is 150614244.

LCM(12269,12276) = 150614244

LCM Calculator and
and

Least Common Multiple of 12269 and 12276 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12269 and 12276, than apply into the LCM equation.

GCF(12269,12276) = 1
LCM(12269,12276) = ( 12269 × 12276) / 1
LCM(12269,12276) = 150614244 / 1
LCM(12269,12276) = 150614244

Least Common Multiple (LCM) of 12269 and 12276 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12269 and 12276. First we will calculate the prime factors of 12269 and 12276.

Prime Factorization of 12269

Prime factors of 12269 are 12269. Prime factorization of 12269 in exponential form is:

12269 = 122691

Prime Factorization of 12276

Prime factors of 12276 are 2, 3, 11, 31. Prime factorization of 12276 in exponential form is:

12276 = 22 × 32 × 111 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 12269 and 12276.

LCM(12269,12276) = 122691 × 22 × 32 × 111 × 311
LCM(12269,12276) = 150614244