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What is the Least Common Multiple of 12487 and 12506?

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 12487 and 12506 is 156162422.

LCM(12487,12506) = 156162422

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Least Common Multiple of 12487 and 12506 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12487 and 12506, than apply into the LCM equation.

GCF(12487,12506) = 1
LCM(12487,12506) = ( 12487 × 12506) / 1
LCM(12487,12506) = 156162422 / 1
LCM(12487,12506) = 156162422

Least Common Multiple (LCM) of 12487 and 12506 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12487 and 12506. First we will calculate the prime factors of 12487 and 12506.

Prime Factorization of 12487

Prime factors of 12487 are 12487. Prime factorization of 12487 in exponential form is:

12487 = 124871

Prime Factorization of 12506

Prime factors of 12506 are 2, 13, 37. Prime factorization of 12506 in exponential form is:

12506 = 21 × 132 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 12487 and 12506.

LCM(12487,12506) = 124871 × 21 × 132 × 371
LCM(12487,12506) = 156162422