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What is the Least Common Multiple of 12627 and 12642?

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 12627 and 12642 is 53210178.

LCM(12627,12642) = 53210178

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Least Common Multiple of 12627 and 12642 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12627 and 12642, than apply into the LCM equation.

GCF(12627,12642) = 3
LCM(12627,12642) = ( 12627 × 12642) / 3
LCM(12627,12642) = 159630534 / 3
LCM(12627,12642) = 53210178

Least Common Multiple (LCM) of 12627 and 12642 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12627 and 12642. First we will calculate the prime factors of 12627 and 12642.

Prime Factorization of 12627

Prime factors of 12627 are 3, 23, 61. Prime factorization of 12627 in exponential form is:

12627 = 32 × 231 × 611

Prime Factorization of 12642

Prime factors of 12642 are 2, 3, 7, 43. Prime factorization of 12642 in exponential form is:

12642 = 21 × 31 × 72 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 12627 and 12642.

LCM(12627,12642) = 32 × 231 × 611 × 21 × 72 × 431
LCM(12627,12642) = 53210178