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What is the Least Common Multiple of 79903 and 79911?

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 79903 and 79911 is 6385128633.

LCM(79903,79911) = 6385128633

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Least Common Multiple of 79903 and 79911 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79903 and 79911, than apply into the LCM equation.

GCF(79903,79911) = 1
LCM(79903,79911) = ( 79903 × 79911) / 1
LCM(79903,79911) = 6385128633 / 1
LCM(79903,79911) = 6385128633

Least Common Multiple (LCM) of 79903 and 79911 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79903 and 79911. First we will calculate the prime factors of 79903 and 79911.

Prime Factorization of 79903

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

79903 = 799031

Prime Factorization of 79911

Prime factors of 79911 are 3, 13, 683. Prime factorization of 79911 in exponential form is:

79911 = 32 × 131 × 6831

Now multiplying the highest exponent prime factors to calculate the LCM of 79903 and 79911.

LCM(79903,79911) = 799031 × 32 × 131 × 6831
LCM(79903,79911) = 6385128633