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What is the Least Common Multiple of 8613 and 8626?

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 8613 and 8626 is 74295738.

LCM(8613,8626) = 74295738

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Least Common Multiple of 8613 and 8626 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8613 and 8626, than apply into the LCM equation.

GCF(8613,8626) = 1
LCM(8613,8626) = ( 8613 × 8626) / 1
LCM(8613,8626) = 74295738 / 1
LCM(8613,8626) = 74295738

Least Common Multiple (LCM) of 8613 and 8626 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8613 and 8626. First we will calculate the prime factors of 8613 and 8626.

Prime Factorization of 8613

Prime factors of 8613 are 3, 11, 29. Prime factorization of 8613 in exponential form is:

8613 = 33 × 111 × 291

Prime Factorization of 8626

Prime factors of 8626 are 2, 19, 227. Prime factorization of 8626 in exponential form is:

8626 = 21 × 191 × 2271

Now multiplying the highest exponent prime factors to calculate the LCM of 8613 and 8626.

LCM(8613,8626) = 33 × 111 × 291 × 21 × 191 × 2271
LCM(8613,8626) = 74295738