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What is the Least Common Multiple of 8777 and 8790?

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 8777 and 8790 is 77149830.

LCM(8777,8790) = 77149830

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Least Common Multiple of 8777 and 8790 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8777 and 8790, than apply into the LCM equation.

GCF(8777,8790) = 1
LCM(8777,8790) = ( 8777 × 8790) / 1
LCM(8777,8790) = 77149830 / 1
LCM(8777,8790) = 77149830

Least Common Multiple (LCM) of 8777 and 8790 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8777 and 8790. First we will calculate the prime factors of 8777 and 8790.

Prime Factorization of 8777

Prime factors of 8777 are 67, 131. Prime factorization of 8777 in exponential form is:

8777 = 671 × 1311

Prime Factorization of 8790

Prime factors of 8790 are 2, 3, 5, 293. Prime factorization of 8790 in exponential form is:

8790 = 21 × 31 × 51 × 2931

Now multiplying the highest exponent prime factors to calculate the LCM of 8777 and 8790.

LCM(8777,8790) = 671 × 1311 × 21 × 31 × 51 × 2931
LCM(8777,8790) = 77149830