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What is the Least Common Multiple of 12469 and 12489?

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 12469 and 12489 is 155725341.

LCM(12469,12489) = 155725341

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Least Common Multiple of 12469 and 12489 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12469 and 12489, than apply into the LCM equation.

GCF(12469,12489) = 1
LCM(12469,12489) = ( 12469 × 12489) / 1
LCM(12469,12489) = 155725341 / 1
LCM(12469,12489) = 155725341

Least Common Multiple (LCM) of 12469 and 12489 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12469 and 12489. First we will calculate the prime factors of 12469 and 12489.

Prime Factorization of 12469

Prime factors of 12469 are 37, 337. Prime factorization of 12469 in exponential form is:

12469 = 371 × 3371

Prime Factorization of 12489

Prime factors of 12489 are 3, 23, 181. Prime factorization of 12489 in exponential form is:

12489 = 31 × 231 × 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 12469 and 12489.

LCM(12469,12489) = 371 × 3371 × 31 × 231 × 1811
LCM(12469,12489) = 155725341