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What is the Least Common Multiple of 8552 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 8552 and 8564 is 18309832.

LCM(8552,8564) = 18309832

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Least Common Multiple of 8552 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 8552 and 8564, than apply into the LCM equation.

GCF(8552,8564) = 4
LCM(8552,8564) = ( 8552 × 8564) / 4
LCM(8552,8564) = 73239328 / 4
LCM(8552,8564) = 18309832

Least Common Multiple (LCM) of 8552 and 8564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8552 and 8564. First we will calculate the prime factors of 8552 and 8564.

Prime Factorization of 8552

Prime factors of 8552 are 2, 1069. Prime factorization of 8552 in exponential form is:

8552 = 23 × 10691

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 8552 and 8564.

LCM(8552,8564) = 23 × 10691 × 21411
LCM(8552,8564) = 18309832