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What is the Least Common Multiple of 79906 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 79906 and 79911 is 6385368366.

LCM(79906,79911) = 6385368366

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Least Common Multiple of 79906 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 79906 and 79911, than apply into the LCM equation.

GCF(79906,79911) = 1
LCM(79906,79911) = ( 79906 × 79911) / 1
LCM(79906,79911) = 6385368366 / 1
LCM(79906,79911) = 6385368366

Least Common Multiple (LCM) of 79906 and 79911 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79906 and 79911. First we will calculate the prime factors of 79906 and 79911.

Prime Factorization of 79906

Prime factors of 79906 are 2, 39953. Prime factorization of 79906 in exponential form is:

79906 = 21 × 399531

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 79906 and 79911.

LCM(79906,79911) = 21 × 399531 × 32 × 131 × 6831
LCM(79906,79911) = 6385368366