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What is the Least Common Multiple of 12618 and 12634?

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 12618 and 12634 is 79707906.

LCM(12618,12634) = 79707906

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Least Common Multiple of 12618 and 12634 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12618 and 12634, than apply into the LCM equation.

GCF(12618,12634) = 2
LCM(12618,12634) = ( 12618 × 12634) / 2
LCM(12618,12634) = 159415812 / 2
LCM(12618,12634) = 79707906

Least Common Multiple (LCM) of 12618 and 12634 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12618 and 12634. First we will calculate the prime factors of 12618 and 12634.

Prime Factorization of 12618

Prime factors of 12618 are 2, 3, 701. Prime factorization of 12618 in exponential form is:

12618 = 21 × 32 × 7011

Prime Factorization of 12634

Prime factors of 12634 are 2, 6317. Prime factorization of 12634 in exponential form is:

12634 = 21 × 63171

Now multiplying the highest exponent prime factors to calculate the LCM of 12618 and 12634.

LCM(12618,12634) = 21 × 32 × 7011 × 63171
LCM(12618,12634) = 79707906