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What is the Least Common Multiple of 12494 and 12499?

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 12494 and 12499 is 156162506.

LCM(12494,12499) = 156162506

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Least Common Multiple of 12494 and 12499 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12494 and 12499, than apply into the LCM equation.

GCF(12494,12499) = 1
LCM(12494,12499) = ( 12494 × 12499) / 1
LCM(12494,12499) = 156162506 / 1
LCM(12494,12499) = 156162506

Least Common Multiple (LCM) of 12494 and 12499 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12494 and 12499. First we will calculate the prime factors of 12494 and 12499.

Prime Factorization of 12494

Prime factors of 12494 are 2, 6247. Prime factorization of 12494 in exponential form is:

12494 = 21 × 62471

Prime Factorization of 12499

Prime factors of 12499 are 29, 431. Prime factorization of 12499 in exponential form is:

12499 = 291 × 4311

Now multiplying the highest exponent prime factors to calculate the LCM of 12494 and 12499.

LCM(12494,12499) = 21 × 62471 × 291 × 4311
LCM(12494,12499) = 156162506