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What is the Least Common Multiple of 11592 and 11601?

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 11592 and 11601 is 14942088.

LCM(11592,11601) = 14942088

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Least Common Multiple of 11592 and 11601 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11592 and 11601, than apply into the LCM equation.

GCF(11592,11601) = 9
LCM(11592,11601) = ( 11592 × 11601) / 9
LCM(11592,11601) = 134478792 / 9
LCM(11592,11601) = 14942088

Least Common Multiple (LCM) of 11592 and 11601 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11592 and 11601. First we will calculate the prime factors of 11592 and 11601.

Prime Factorization of 11592

Prime factors of 11592 are 2, 3, 7, 23. Prime factorization of 11592 in exponential form is:

11592 = 23 × 32 × 71 × 231

Prime Factorization of 11601

Prime factors of 11601 are 3, 1289. Prime factorization of 11601 in exponential form is:

11601 = 32 × 12891

Now multiplying the highest exponent prime factors to calculate the LCM of 11592 and 11601.

LCM(11592,11601) = 23 × 32 × 71 × 231 × 12891
LCM(11592,11601) = 14942088