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What is the Least Common Multiple of 8772 and 8783?

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 8772 and 8783 is 77044476.

LCM(8772,8783) = 77044476

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Least Common Multiple of 8772 and 8783 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8772 and 8783, than apply into the LCM equation.

GCF(8772,8783) = 1
LCM(8772,8783) = ( 8772 × 8783) / 1
LCM(8772,8783) = 77044476 / 1
LCM(8772,8783) = 77044476

Least Common Multiple (LCM) of 8772 and 8783 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8772 and 8783. First we will calculate the prime factors of 8772 and 8783.

Prime Factorization of 8772

Prime factors of 8772 are 2, 3, 17, 43. Prime factorization of 8772 in exponential form is:

8772 = 22 × 31 × 171 × 431

Prime Factorization of 8783

Prime factors of 8783 are 8783. Prime factorization of 8783 in exponential form is:

8783 = 87831

Now multiplying the highest exponent prime factors to calculate the LCM of 8772 and 8783.

LCM(8772,8783) = 22 × 31 × 171 × 431 × 87831
LCM(8772,8783) = 77044476