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What is the Least Common Multiple of 12526 and 12545?

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 12526 and 12545 is 157138670.

LCM(12526,12545) = 157138670

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Least Common Multiple of 12526 and 12545 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12526 and 12545, than apply into the LCM equation.

GCF(12526,12545) = 1
LCM(12526,12545) = ( 12526 × 12545) / 1
LCM(12526,12545) = 157138670 / 1
LCM(12526,12545) = 157138670

Least Common Multiple (LCM) of 12526 and 12545 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12526 and 12545. First we will calculate the prime factors of 12526 and 12545.

Prime Factorization of 12526

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

12526 = 21 × 62631

Prime Factorization of 12545

Prime factors of 12545 are 5, 13, 193. Prime factorization of 12545 in exponential form is:

12545 = 51 × 131 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 12526 and 12545.

LCM(12526,12545) = 21 × 62631 × 51 × 131 × 1931
LCM(12526,12545) = 157138670