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What is the Least Common Multiple of 12229 and 12243?

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 12229 and 12243 is 21388521.

LCM(12229,12243) = 21388521

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Least Common Multiple of 12229 and 12243 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12229 and 12243, than apply into the LCM equation.

GCF(12229,12243) = 7
LCM(12229,12243) = ( 12229 × 12243) / 7
LCM(12229,12243) = 149719647 / 7
LCM(12229,12243) = 21388521

Least Common Multiple (LCM) of 12229 and 12243 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12229 and 12243. First we will calculate the prime factors of 12229 and 12243.

Prime Factorization of 12229

Prime factors of 12229 are 7, 1747. Prime factorization of 12229 in exponential form is:

12229 = 71 × 17471

Prime Factorization of 12243

Prime factors of 12243 are 3, 7, 11, 53. Prime factorization of 12243 in exponential form is:

12243 = 31 × 71 × 111 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 12229 and 12243.

LCM(12229,12243) = 71 × 17471 × 31 × 111 × 531
LCM(12229,12243) = 21388521