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What is the Least Common Multiple of 12509 and 12526?

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 12509 and 12526 is 156687734.

LCM(12509,12526) = 156687734

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Least Common Multiple of 12509 and 12526 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12509 and 12526, than apply into the LCM equation.

GCF(12509,12526) = 1
LCM(12509,12526) = ( 12509 × 12526) / 1
LCM(12509,12526) = 156687734 / 1
LCM(12509,12526) = 156687734

Least Common Multiple (LCM) of 12509 and 12526 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12509 and 12526. First we will calculate the prime factors of 12509 and 12526.

Prime Factorization of 12509

Prime factors of 12509 are 7, 1787. Prime factorization of 12509 in exponential form is:

12509 = 71 × 17871

Prime Factorization of 12526

Prime factors of 12526 are 2, 6263. Prime factorization of 12526 in exponential form is:

12526 = 21 × 62631

Now multiplying the highest exponent prime factors to calculate the LCM of 12509 and 12526.

LCM(12509,12526) = 71 × 17871 × 21 × 62631
LCM(12509,12526) = 156687734