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What is the Least Common Multiple of 12607 and 12626?

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 12607 and 12626 is 159175982.

LCM(12607,12626) = 159175982

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Least Common Multiple of 12607 and 12626 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12607 and 12626, than apply into the LCM equation.

GCF(12607,12626) = 1
LCM(12607,12626) = ( 12607 × 12626) / 1
LCM(12607,12626) = 159175982 / 1
LCM(12607,12626) = 159175982

Least Common Multiple (LCM) of 12607 and 12626 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12607 and 12626. First we will calculate the prime factors of 12607 and 12626.

Prime Factorization of 12607

Prime factors of 12607 are 7, 1801. Prime factorization of 12607 in exponential form is:

12607 = 71 × 18011

Prime Factorization of 12626

Prime factors of 12626 are 2, 59, 107. Prime factorization of 12626 in exponential form is:

12626 = 21 × 591 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 12607 and 12626.

LCM(12607,12626) = 71 × 18011 × 21 × 591 × 1071
LCM(12607,12626) = 159175982