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What is the Least Common Multiple of 27993 and 28001?

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 27993 and 28001 is 783831993.

LCM(27993,28001) = 783831993

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Least Common Multiple of 27993 and 28001 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27993 and 28001, than apply into the LCM equation.

GCF(27993,28001) = 1
LCM(27993,28001) = ( 27993 × 28001) / 1
LCM(27993,28001) = 783831993 / 1
LCM(27993,28001) = 783831993

Least Common Multiple (LCM) of 27993 and 28001 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27993 and 28001. First we will calculate the prime factors of 27993 and 28001.

Prime Factorization of 27993

Prime factors of 27993 are 3, 7, 31, 43. Prime factorization of 27993 in exponential form is:

27993 = 31 × 71 × 311 × 431

Prime Factorization of 28001

Prime factors of 28001 are 28001. Prime factorization of 28001 in exponential form is:

28001 = 280011

Now multiplying the highest exponent prime factors to calculate the LCM of 27993 and 28001.

LCM(27993,28001) = 31 × 71 × 311 × 431 × 280011
LCM(27993,28001) = 783831993