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What is the Least Common Multiple of 8557 and 8564?

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 8564 is 73282148.

LCM(8557,8564) = 73282148

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Least Common Multiple of 8557 and 8564 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 8564, than apply into the LCM equation.

GCF(8557,8564) = 1
LCM(8557,8564) = ( 8557 × 8564) / 1
LCM(8557,8564) = 73282148 / 1
LCM(8557,8564) = 73282148

Least Common Multiple (LCM) of 8557 and 8564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8557 and 8564. First we will calculate the prime factors of 8557 and 8564.

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 8564

Prime factors of 8564 are 2, 2141. Prime factorization of 8564 in exponential form is:

8564 = 22 × 21411

Now multiplying the highest exponent prime factors to calculate the LCM of 8557 and 8564.

LCM(8557,8564) = 431 × 1991 × 22 × 21411
LCM(8557,8564) = 73282148