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What is the Least Common Multiple of 27801 and 27807?

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 27801 and 27807 is 257687469.

LCM(27801,27807) = 257687469

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Least Common Multiple of 27801 and 27807 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27801 and 27807, than apply into the LCM equation.

GCF(27801,27807) = 3
LCM(27801,27807) = ( 27801 × 27807) / 3
LCM(27801,27807) = 773062407 / 3
LCM(27801,27807) = 257687469

Least Common Multiple (LCM) of 27801 and 27807 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27801 and 27807. First we will calculate the prime factors of 27801 and 27807.

Prime Factorization of 27801

Prime factors of 27801 are 3, 3089. Prime factorization of 27801 in exponential form is:

27801 = 32 × 30891

Prime Factorization of 27807

Prime factors of 27807 are 3, 13, 23, 31. Prime factorization of 27807 in exponential form is:

27807 = 31 × 131 × 231 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 27801 and 27807.

LCM(27801,27807) = 32 × 30891 × 131 × 231 × 311
LCM(27801,27807) = 257687469