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What is the Least Common Multiple of 8772 and 8788?

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 8788 is 19272084.

LCM(8772,8788) = 19272084

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Least Common Multiple of 8772 and 8788 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 8788, than apply into the LCM equation.

GCF(8772,8788) = 4
LCM(8772,8788) = ( 8772 × 8788) / 4
LCM(8772,8788) = 77088336 / 4
LCM(8772,8788) = 19272084

Least Common Multiple (LCM) of 8772 and 8788 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8772 and 8788. First we will calculate the prime factors of 8772 and 8788.

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 8788

Prime factors of 8788 are 2, 13. Prime factorization of 8788 in exponential form is:

8788 = 22 × 133

Now multiplying the highest exponent prime factors to calculate the LCM of 8772 and 8788.

LCM(8772,8788) = 22 × 31 × 171 × 431 × 133
LCM(8772,8788) = 19272084