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What is the Least Common Multiple of 8557 and 8563?

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 8557 and 8563 is 73273591.

LCM(8557,8563) = 73273591

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Least Common Multiple of 8557 and 8563 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8557 and 8563, than apply into the LCM equation.

GCF(8557,8563) = 1
LCM(8557,8563) = ( 8557 × 8563) / 1
LCM(8557,8563) = 73273591 / 1
LCM(8557,8563) = 73273591

Least Common Multiple (LCM) of 8557 and 8563 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8557 and 8563. First we will calculate the prime factors of 8557 and 8563.

Prime Factorization of 8557

Prime factors of 8557 are 43, 199. Prime factorization of 8557 in exponential form is:

8557 = 431 × 1991

Prime Factorization of 8563

Prime factors of 8563 are 8563. Prime factorization of 8563 in exponential form is:

8563 = 85631

Now multiplying the highest exponent prime factors to calculate the LCM of 8557 and 8563.

LCM(8557,8563) = 431 × 1991 × 85631
LCM(8557,8563) = 73273591