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What is the Least Common Multiple of 13568 and 13576?

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 13576 is 23024896.

LCM(13568,13576) = 23024896

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Least Common Multiple of 13568 and 13576 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 13576, than apply into the LCM equation.

GCF(13568,13576) = 8
LCM(13568,13576) = ( 13568 × 13576) / 8
LCM(13568,13576) = 184199168 / 8
LCM(13568,13576) = 23024896

Least Common Multiple (LCM) of 13568 and 13576 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13568 and 13576. First we will calculate the prime factors of 13568 and 13576.

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 13576

Prime factors of 13576 are 2, 1697. Prime factorization of 13576 in exponential form is:

13576 = 23 × 16971

Now multiplying the highest exponent prime factors to calculate the LCM of 13568 and 13576.

LCM(13568,13576) = 28 × 531 × 16971
LCM(13568,13576) = 23024896