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What is the Least Common Multiple of 8674 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 8674 and 8684 is 37662508.

LCM(8674,8684) = 37662508

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Least Common Multiple of 8674 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 8674 and 8684, than apply into the LCM equation.

GCF(8674,8684) = 2
LCM(8674,8684) = ( 8674 × 8684) / 2
LCM(8674,8684) = 75325016 / 2
LCM(8674,8684) = 37662508

Least Common Multiple (LCM) of 8674 and 8684 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8674 and 8684. First we will calculate the prime factors of 8674 and 8684.

Prime Factorization of 8674

Prime factors of 8674 are 2, 4337. Prime factorization of 8674 in exponential form is:

8674 = 21 × 43371

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 8674 and 8684.

LCM(8674,8684) = 22 × 43371 × 131 × 1671
LCM(8674,8684) = 37662508