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What is the Least Common Multiple of 12522 and 12539?

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 12522 and 12539 is 157013358.

LCM(12522,12539) = 157013358

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Least Common Multiple of 12522 and 12539 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12522 and 12539, than apply into the LCM equation.

GCF(12522,12539) = 1
LCM(12522,12539) = ( 12522 × 12539) / 1
LCM(12522,12539) = 157013358 / 1
LCM(12522,12539) = 157013358

Least Common Multiple (LCM) of 12522 and 12539 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12522 and 12539. First we will calculate the prime factors of 12522 and 12539.

Prime Factorization of 12522

Prime factors of 12522 are 2, 3, 2087. Prime factorization of 12522 in exponential form is:

12522 = 21 × 31 × 20871

Prime Factorization of 12539

Prime factors of 12539 are 12539. Prime factorization of 12539 in exponential form is:

12539 = 125391

Now multiplying the highest exponent prime factors to calculate the LCM of 12522 and 12539.

LCM(12522,12539) = 21 × 31 × 20871 × 125391
LCM(12522,12539) = 157013358