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What is the Least Common Multiple of 8600 and 8617?

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 8600 and 8617 is 74106200.

LCM(8600,8617) = 74106200

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Least Common Multiple of 8600 and 8617 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8600 and 8617, than apply into the LCM equation.

GCF(8600,8617) = 1
LCM(8600,8617) = ( 8600 × 8617) / 1
LCM(8600,8617) = 74106200 / 1
LCM(8600,8617) = 74106200

Least Common Multiple (LCM) of 8600 and 8617 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8600 and 8617. First we will calculate the prime factors of 8600 and 8617.

Prime Factorization of 8600

Prime factors of 8600 are 2, 5, 43. Prime factorization of 8600 in exponential form is:

8600 = 23 × 52 × 431

Prime Factorization of 8617

Prime factors of 8617 are 7, 1231. Prime factorization of 8617 in exponential form is:

8617 = 71 × 12311

Now multiplying the highest exponent prime factors to calculate the LCM of 8600 and 8617.

LCM(8600,8617) = 23 × 52 × 431 × 71 × 12311
LCM(8600,8617) = 74106200