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What is the Least Common Multiple of 9564 and 9568?

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 9564 and 9568 is 22877088.

LCM(9564,9568) = 22877088

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Least Common Multiple of 9564 and 9568 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9564 and 9568, than apply into the LCM equation.

GCF(9564,9568) = 4
LCM(9564,9568) = ( 9564 × 9568) / 4
LCM(9564,9568) = 91508352 / 4
LCM(9564,9568) = 22877088

Least Common Multiple (LCM) of 9564 and 9568 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9564 and 9568. First we will calculate the prime factors of 9564 and 9568.

Prime Factorization of 9564

Prime factors of 9564 are 2, 3, 797. Prime factorization of 9564 in exponential form is:

9564 = 22 × 31 × 7971

Prime Factorization of 9568

Prime factors of 9568 are 2, 13, 23. Prime factorization of 9568 in exponential form is:

9568 = 25 × 131 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 9564 and 9568.

LCM(9564,9568) = 25 × 31 × 7971 × 131 × 231
LCM(9564,9568) = 22877088