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What is the Least Common Multiple of 8857 and 8877?

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 8857 and 8877 is 78623589.

LCM(8857,8877) = 78623589

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Least Common Multiple of 8857 and 8877 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8857 and 8877, than apply into the LCM equation.

GCF(8857,8877) = 1
LCM(8857,8877) = ( 8857 × 8877) / 1
LCM(8857,8877) = 78623589 / 1
LCM(8857,8877) = 78623589

Least Common Multiple (LCM) of 8857 and 8877 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8857 and 8877. First we will calculate the prime factors of 8857 and 8877.

Prime Factorization of 8857

Prime factors of 8857 are 17, 521. Prime factorization of 8857 in exponential form is:

8857 = 171 × 5211

Prime Factorization of 8877

Prime factors of 8877 are 3, 11, 269. Prime factorization of 8877 in exponential form is:

8877 = 31 × 111 × 2691

Now multiplying the highest exponent prime factors to calculate the LCM of 8857 and 8877.

LCM(8857,8877) = 171 × 5211 × 31 × 111 × 2691
LCM(8857,8877) = 78623589