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What is the Least Common Multiple of 12276 and 12283?

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 12276 and 12283 is 150786108.

LCM(12276,12283) = 150786108

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Least Common Multiple of 12276 and 12283 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12276 and 12283, than apply into the LCM equation.

GCF(12276,12283) = 1
LCM(12276,12283) = ( 12276 × 12283) / 1
LCM(12276,12283) = 150786108 / 1
LCM(12276,12283) = 150786108

Least Common Multiple (LCM) of 12276 and 12283 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12276 and 12283. First we will calculate the prime factors of 12276 and 12283.

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

Prime Factorization of 12283

Prime factors of 12283 are 71, 173. Prime factorization of 12283 in exponential form is:

12283 = 711 × 1731

Now multiplying the highest exponent prime factors to calculate the LCM of 12276 and 12283.

LCM(12276,12283) = 22 × 32 × 111 × 311 × 711 × 1731
LCM(12276,12283) = 150786108