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What is the Least Common Multiple of 13568 and 13585?

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 13568 and 13585 is 184321280.

LCM(13568,13585) = 184321280

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Least Common Multiple of 13568 and 13585 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13568 and 13585, than apply into the LCM equation.

GCF(13568,13585) = 1
LCM(13568,13585) = ( 13568 × 13585) / 1
LCM(13568,13585) = 184321280 / 1
LCM(13568,13585) = 184321280

Least Common Multiple (LCM) of 13568 and 13585 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13568 and 13585. First we will calculate the prime factors of 13568 and 13585.

Prime Factorization of 13568

Prime factors of 13568 are 2, 53. Prime factorization of 13568 in exponential form is:

13568 = 28 × 531

Prime Factorization of 13585

Prime factors of 13585 are 5, 11, 13, 19. Prime factorization of 13585 in exponential form is:

13585 = 51 × 111 × 131 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 13568 and 13585.

LCM(13568,13585) = 28 × 531 × 51 × 111 × 131 × 191
LCM(13568,13585) = 184321280