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What is the Least Common Multiple of 8669 and 8684?

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 8669 and 8684 is 75281596.

LCM(8669,8684) = 75281596

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Least Common Multiple of 8669 and 8684 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8669 and 8684, than apply into the LCM equation.

GCF(8669,8684) = 1
LCM(8669,8684) = ( 8669 × 8684) / 1
LCM(8669,8684) = 75281596 / 1
LCM(8669,8684) = 75281596

Least Common Multiple (LCM) of 8669 and 8684 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8669 and 8684. First we will calculate the prime factors of 8669 and 8684.

Prime Factorization of 8669

Prime factors of 8669 are 8669. Prime factorization of 8669 in exponential form is:

8669 = 86691

Prime Factorization of 8684

Prime factors of 8684 are 2, 13, 167. Prime factorization of 8684 in exponential form is:

8684 = 22 × 131 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 8669 and 8684.

LCM(8669,8684) = 86691 × 22 × 131 × 1671
LCM(8669,8684) = 75281596