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What is the Least Common Multiple of 8665 and 8677?

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 8665 and 8677 is 75186205.

LCM(8665,8677) = 75186205

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Least Common Multiple of 8665 and 8677 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8665 and 8677, than apply into the LCM equation.

GCF(8665,8677) = 1
LCM(8665,8677) = ( 8665 × 8677) / 1
LCM(8665,8677) = 75186205 / 1
LCM(8665,8677) = 75186205

Least Common Multiple (LCM) of 8665 and 8677 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8665 and 8677. First we will calculate the prime factors of 8665 and 8677.

Prime Factorization of 8665

Prime factors of 8665 are 5, 1733. Prime factorization of 8665 in exponential form is:

8665 = 51 × 17331

Prime Factorization of 8677

Prime factors of 8677 are 8677. Prime factorization of 8677 in exponential form is:

8677 = 86771

Now multiplying the highest exponent prime factors to calculate the LCM of 8665 and 8677.

LCM(8665,8677) = 51 × 17331 × 86771
LCM(8665,8677) = 75186205