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What is the Least Common Multiple of 8606 and 8616?

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 8606 and 8616 is 37074648.

LCM(8606,8616) = 37074648

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Least Common Multiple of 8606 and 8616 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8606 and 8616, than apply into the LCM equation.

GCF(8606,8616) = 2
LCM(8606,8616) = ( 8606 × 8616) / 2
LCM(8606,8616) = 74149296 / 2
LCM(8606,8616) = 37074648

Least Common Multiple (LCM) of 8606 and 8616 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8606 and 8616. First we will calculate the prime factors of 8606 and 8616.

Prime Factorization of 8606

Prime factors of 8606 are 2, 13, 331. Prime factorization of 8606 in exponential form is:

8606 = 21 × 131 × 3311

Prime Factorization of 8616

Prime factors of 8616 are 2, 3, 359. Prime factorization of 8616 in exponential form is:

8616 = 23 × 31 × 3591

Now multiplying the highest exponent prime factors to calculate the LCM of 8606 and 8616.

LCM(8606,8616) = 23 × 131 × 3311 × 31 × 3591
LCM(8606,8616) = 37074648