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What is the Least Common Multiple of 12522 and 12530?

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 12530 is 78450330.

LCM(12522,12530) = 78450330

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Least Common Multiple of 12522 and 12530 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 12530, than apply into the LCM equation.

GCF(12522,12530) = 2
LCM(12522,12530) = ( 12522 × 12530) / 2
LCM(12522,12530) = 156900660 / 2
LCM(12522,12530) = 78450330

Least Common Multiple (LCM) of 12522 and 12530 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12522 and 12530. First we will calculate the prime factors of 12522 and 12530.

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 12530

Prime factors of 12530 are 2, 5, 7, 179. Prime factorization of 12530 in exponential form is:

12530 = 21 × 51 × 71 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 12522 and 12530.

LCM(12522,12530) = 21 × 31 × 20871 × 51 × 71 × 1791
LCM(12522,12530) = 78450330