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What is the Least Common Multiple of 12465 and 12471?

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 12465 and 12471 is 51817005.

LCM(12465,12471) = 51817005

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Least Common Multiple of 12465 and 12471 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12465 and 12471, than apply into the LCM equation.

GCF(12465,12471) = 3
LCM(12465,12471) = ( 12465 × 12471) / 3
LCM(12465,12471) = 155451015 / 3
LCM(12465,12471) = 51817005

Least Common Multiple (LCM) of 12465 and 12471 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12465 and 12471. First we will calculate the prime factors of 12465 and 12471.

Prime Factorization of 12465

Prime factors of 12465 are 3, 5, 277. Prime factorization of 12465 in exponential form is:

12465 = 32 × 51 × 2771

Prime Factorization of 12471

Prime factors of 12471 are 3, 4157. Prime factorization of 12471 in exponential form is:

12471 = 31 × 41571

Now multiplying the highest exponent prime factors to calculate the LCM of 12465 and 12471.

LCM(12465,12471) = 32 × 51 × 2771 × 41571
LCM(12465,12471) = 51817005