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What is the Least Common Multiple of 27797 and 27803?

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 27797 and 27803 is 772839991.

LCM(27797,27803) = 772839991

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Least Common Multiple of 27797 and 27803 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27797 and 27803, than apply into the LCM equation.

GCF(27797,27803) = 1
LCM(27797,27803) = ( 27797 × 27803) / 1
LCM(27797,27803) = 772839991 / 1
LCM(27797,27803) = 772839991

Least Common Multiple (LCM) of 27797 and 27803 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27797 and 27803. First we will calculate the prime factors of 27797 and 27803.

Prime Factorization of 27797

Prime factors of 27797 are 7, 11, 19. Prime factorization of 27797 in exponential form is:

27797 = 71 × 111 × 192

Prime Factorization of 27803

Prime factors of 27803 are 27803. Prime factorization of 27803 in exponential form is:

27803 = 278031

Now multiplying the highest exponent prime factors to calculate the LCM of 27797 and 27803.

LCM(27797,27803) = 71 × 111 × 192 × 278031
LCM(27797,27803) = 772839991