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What is the Least Common Multiple of 12787 and 12799?

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 12787 and 12799 is 163660813.

LCM(12787,12799) = 163660813

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Least Common Multiple of 12787 and 12799 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12787 and 12799, than apply into the LCM equation.

GCF(12787,12799) = 1
LCM(12787,12799) = ( 12787 × 12799) / 1
LCM(12787,12799) = 163660813 / 1
LCM(12787,12799) = 163660813

Least Common Multiple (LCM) of 12787 and 12799 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12787 and 12799. First we will calculate the prime factors of 12787 and 12799.

Prime Factorization of 12787

Prime factors of 12787 are 19, 673. Prime factorization of 12787 in exponential form is:

12787 = 191 × 6731

Prime Factorization of 12799

Prime factors of 12799 are 12799. Prime factorization of 12799 in exponential form is:

12799 = 127991

Now multiplying the highest exponent prime factors to calculate the LCM of 12787 and 12799.

LCM(12787,12799) = 191 × 6731 × 127991
LCM(12787,12799) = 163660813