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What is the Least Common Multiple of 12487 and 12504?

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 12504 is 156137448.

LCM(12487,12504) = 156137448

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Least Common Multiple of 12487 and 12504 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 12504, than apply into the LCM equation.

GCF(12487,12504) = 1
LCM(12487,12504) = ( 12487 × 12504) / 1
LCM(12487,12504) = 156137448 / 1
LCM(12487,12504) = 156137448

Least Common Multiple (LCM) of 12487 and 12504 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12487 and 12504. First we will calculate the prime factors of 12487 and 12504.

Prime Factorization of 12487

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

12487 = 124871

Prime Factorization of 12504

Prime factors of 12504 are 2, 3, 521. Prime factorization of 12504 in exponential form is:

12504 = 23 × 31 × 5211

Now multiplying the highest exponent prime factors to calculate the LCM of 12487 and 12504.

LCM(12487,12504) = 124871 × 23 × 31 × 5211
LCM(12487,12504) = 156137448