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What is the Least Common Multiple of 27801 and 27817?

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 27817 is 773340417.

LCM(27801,27817) = 773340417

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Least Common Multiple of 27801 and 27817 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 27817, than apply into the LCM equation.

GCF(27801,27817) = 1
LCM(27801,27817) = ( 27801 × 27817) / 1
LCM(27801,27817) = 773340417 / 1
LCM(27801,27817) = 773340417

Least Common Multiple (LCM) of 27801 and 27817 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27801 and 27817. First we will calculate the prime factors of 27801 and 27817.

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 27817

Prime factors of 27817 are 27817. Prime factorization of 27817 in exponential form is:

27817 = 278171

Now multiplying the highest exponent prime factors to calculate the LCM of 27801 and 27817.

LCM(27801,27817) = 32 × 30891 × 278171
LCM(27801,27817) = 773340417