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What is the Least Common Multiple of 11993 and 11997?

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 11993 and 11997 is 143880021.

LCM(11993,11997) = 143880021

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Least Common Multiple of 11993 and 11997 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11993 and 11997, than apply into the LCM equation.

GCF(11993,11997) = 1
LCM(11993,11997) = ( 11993 × 11997) / 1
LCM(11993,11997) = 143880021 / 1
LCM(11993,11997) = 143880021

Least Common Multiple (LCM) of 11993 and 11997 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11993 and 11997. First we will calculate the prime factors of 11993 and 11997.

Prime Factorization of 11993

Prime factors of 11993 are 67, 179. Prime factorization of 11993 in exponential form is:

11993 = 671 × 1791

Prime Factorization of 11997

Prime factors of 11997 are 3, 31, 43. Prime factorization of 11997 in exponential form is:

11997 = 32 × 311 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 11993 and 11997.

LCM(11993,11997) = 671 × 1791 × 32 × 311 × 431
LCM(11993,11997) = 143880021