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What is the Least Common Multiple of 27986 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 27986 and 28001 is 783635986.

LCM(27986,28001) = 783635986

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Least Common Multiple of 27986 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 27986 and 28001, than apply into the LCM equation.

GCF(27986,28001) = 1
LCM(27986,28001) = ( 27986 × 28001) / 1
LCM(27986,28001) = 783635986 / 1
LCM(27986,28001) = 783635986

Least Common Multiple (LCM) of 27986 and 28001 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27986 and 28001. First we will calculate the prime factors of 27986 and 28001.

Prime Factorization of 27986

Prime factors of 27986 are 2, 7, 1999. Prime factorization of 27986 in exponential form is:

27986 = 21 × 71 × 19991

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 27986 and 28001.

LCM(27986,28001) = 21 × 71 × 19991 × 280011
LCM(27986,28001) = 783635986