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What is the Least Common Multiple of 8591 and 8602?

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 8591 and 8602 is 6718162.

LCM(8591,8602) = 6718162

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Least Common Multiple of 8591 and 8602 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8591 and 8602, than apply into the LCM equation.

GCF(8591,8602) = 11
LCM(8591,8602) = ( 8591 × 8602) / 11
LCM(8591,8602) = 73899782 / 11
LCM(8591,8602) = 6718162

Least Common Multiple (LCM) of 8591 and 8602 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8591 and 8602. First we will calculate the prime factors of 8591 and 8602.

Prime Factorization of 8591

Prime factors of 8591 are 11, 71. Prime factorization of 8591 in exponential form is:

8591 = 112 × 711

Prime Factorization of 8602

Prime factors of 8602 are 2, 11, 17, 23. Prime factorization of 8602 in exponential form is:

8602 = 21 × 111 × 171 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 8591 and 8602.

LCM(8591,8602) = 112 × 711 × 21 × 171 × 231
LCM(8591,8602) = 6718162