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What is the Least Common Multiple of 8764 and 8784?

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 8764 and 8784 is 19245744.

LCM(8764,8784) = 19245744

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Least Common Multiple of 8764 and 8784 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8764 and 8784, than apply into the LCM equation.

GCF(8764,8784) = 4
LCM(8764,8784) = ( 8764 × 8784) / 4
LCM(8764,8784) = 76982976 / 4
LCM(8764,8784) = 19245744

Least Common Multiple (LCM) of 8764 and 8784 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8764 and 8784. First we will calculate the prime factors of 8764 and 8784.

Prime Factorization of 8764

Prime factors of 8764 are 2, 7, 313. Prime factorization of 8764 in exponential form is:

8764 = 22 × 71 × 3131

Prime Factorization of 8784

Prime factors of 8784 are 2, 3, 61. Prime factorization of 8784 in exponential form is:

8784 = 24 × 32 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 8764 and 8784.

LCM(8764,8784) = 24 × 71 × 3131 × 32 × 611
LCM(8764,8784) = 19245744