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What is the Least Common Multiple of 79899 and 79903?

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 79899 and 79903 is 6384169797.

LCM(79899,79903) = 6384169797

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Least Common Multiple of 79899 and 79903 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79899 and 79903, than apply into the LCM equation.

GCF(79899,79903) = 1
LCM(79899,79903) = ( 79899 × 79903) / 1
LCM(79899,79903) = 6384169797 / 1
LCM(79899,79903) = 6384169797

Least Common Multiple (LCM) of 79899 and 79903 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79899 and 79903. First we will calculate the prime factors of 79899 and 79903.

Prime Factorization of 79899

Prime factors of 79899 are 3, 26633. Prime factorization of 79899 in exponential form is:

79899 = 31 × 266331

Prime Factorization of 79903

Prime factors of 79903 are 79903. Prime factorization of 79903 in exponential form is:

79903 = 799031

Now multiplying the highest exponent prime factors to calculate the LCM of 79899 and 79903.

LCM(79899,79903) = 31 × 266331 × 799031
LCM(79899,79903) = 6384169797