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What is the Least Common Multiple of 11607 and 11626?

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 11607 and 11626 is 134942982.

LCM(11607,11626) = 134942982

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Least Common Multiple of 11607 and 11626 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11607 and 11626, than apply into the LCM equation.

GCF(11607,11626) = 1
LCM(11607,11626) = ( 11607 × 11626) / 1
LCM(11607,11626) = 134942982 / 1
LCM(11607,11626) = 134942982

Least Common Multiple (LCM) of 11607 and 11626 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11607 and 11626. First we will calculate the prime factors of 11607 and 11626.

Prime Factorization of 11607

Prime factors of 11607 are 3, 53, 73. Prime factorization of 11607 in exponential form is:

11607 = 31 × 531 × 731

Prime Factorization of 11626

Prime factors of 11626 are 2, 5813. Prime factorization of 11626 in exponential form is:

11626 = 21 × 58131

Now multiplying the highest exponent prime factors to calculate the LCM of 11607 and 11626.

LCM(11607,11626) = 31 × 531 × 731 × 21 × 58131
LCM(11607,11626) = 134942982