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What is the Least Common Multiple of 8855 and 8871?

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 8855 and 8871 is 78552705.

LCM(8855,8871) = 78552705

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Least Common Multiple of 8855 and 8871 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8855 and 8871, than apply into the LCM equation.

GCF(8855,8871) = 1
LCM(8855,8871) = ( 8855 × 8871) / 1
LCM(8855,8871) = 78552705 / 1
LCM(8855,8871) = 78552705

Least Common Multiple (LCM) of 8855 and 8871 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8855 and 8871. First we will calculate the prime factors of 8855 and 8871.

Prime Factorization of 8855

Prime factors of 8855 are 5, 7, 11, 23. Prime factorization of 8855 in exponential form is:

8855 = 51 × 71 × 111 × 231

Prime Factorization of 8871

Prime factors of 8871 are 3, 2957. Prime factorization of 8871 in exponential form is:

8871 = 31 × 29571

Now multiplying the highest exponent prime factors to calculate the LCM of 8855 and 8871.

LCM(8855,8871) = 51 × 71 × 111 × 231 × 31 × 29571
LCM(8855,8871) = 78552705