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What is the Least Common Multiple of 27791 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 27791 and 27807 is 772784337.

LCM(27791,27807) = 772784337

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Least Common Multiple of 27791 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 27791 and 27807, than apply into the LCM equation.

GCF(27791,27807) = 1
LCM(27791,27807) = ( 27791 × 27807) / 1
LCM(27791,27807) = 772784337 / 1
LCM(27791,27807) = 772784337

Least Common Multiple (LCM) of 27791 and 27807 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27791 and 27807. First we will calculate the prime factors of 27791 and 27807.

Prime Factorization of 27791

Prime factors of 27791 are 27791. Prime factorization of 27791 in exponential form is:

27791 = 277911

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 27791 and 27807.

LCM(27791,27807) = 277911 × 31 × 131 × 231 × 311
LCM(27791,27807) = 772784337