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What is the Least Common Multiple of 8857 and 8863?

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 8863 is 78499591.

LCM(8857,8863) = 78499591

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Least Common Multiple of 8857 and 8863 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 8863, than apply into the LCM equation.

GCF(8857,8863) = 1
LCM(8857,8863) = ( 8857 × 8863) / 1
LCM(8857,8863) = 78499591 / 1
LCM(8857,8863) = 78499591

Least Common Multiple (LCM) of 8857 and 8863 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8857 and 8863. First we will calculate the prime factors of 8857 and 8863.

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 8863

Prime factors of 8863 are 8863. Prime factorization of 8863 in exponential form is:

8863 = 88631

Now multiplying the highest exponent prime factors to calculate the LCM of 8857 and 8863.

LCM(8857,8863) = 171 × 5211 × 88631
LCM(8857,8863) = 78499591