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What is the Least Common Multiple of 12269 and 12285?

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 12285 is 150724665.

LCM(12269,12285) = 150724665

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Least Common Multiple of 12269 and 12285 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 12285, than apply into the LCM equation.

GCF(12269,12285) = 1
LCM(12269,12285) = ( 12269 × 12285) / 1
LCM(12269,12285) = 150724665 / 1
LCM(12269,12285) = 150724665

Least Common Multiple (LCM) of 12269 and 12285 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12269 and 12285. First we will calculate the prime factors of 12269 and 12285.

Prime Factorization of 12269

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

12269 = 122691

Prime Factorization of 12285

Prime factors of 12285 are 3, 5, 7, 13. Prime factorization of 12285 in exponential form is:

12285 = 33 × 51 × 71 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 12269 and 12285.

LCM(12269,12285) = 122691 × 33 × 51 × 71 × 131
LCM(12269,12285) = 150724665