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What is the Least Common Multiple of 11593 and 11600?

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 11593 and 11600 is 134478800.

LCM(11593,11600) = 134478800

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Least Common Multiple of 11593 and 11600 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11593 and 11600, than apply into the LCM equation.

GCF(11593,11600) = 1
LCM(11593,11600) = ( 11593 × 11600) / 1
LCM(11593,11600) = 134478800 / 1
LCM(11593,11600) = 134478800

Least Common Multiple (LCM) of 11593 and 11600 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11593 and 11600. First we will calculate the prime factors of 11593 and 11600.

Prime Factorization of 11593

Prime factors of 11593 are 11593. Prime factorization of 11593 in exponential form is:

11593 = 115931

Prime Factorization of 11600

Prime factors of 11600 are 2, 5, 29. Prime factorization of 11600 in exponential form is:

11600 = 24 × 52 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 11593 and 11600.

LCM(11593,11600) = 115931 × 24 × 52 × 291
LCM(11593,11600) = 134478800