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What is the Least Common Multiple of 99699 and 99717?

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 99699 and 99717 is 3313895061.

LCM(99699,99717) = 3313895061

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Least Common Multiple of 99699 and 99717 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99699 and 99717, than apply into the LCM equation.

GCF(99699,99717) = 3
LCM(99699,99717) = ( 99699 × 99717) / 3
LCM(99699,99717) = 9941685183 / 3
LCM(99699,99717) = 3313895061

Least Common Multiple (LCM) of 99699 and 99717 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99699 and 99717. First we will calculate the prime factors of 99699 and 99717.

Prime Factorization of 99699

Prime factors of 99699 are 3, 167, 199. Prime factorization of 99699 in exponential form is:

99699 = 31 × 1671 × 1991

Prime Factorization of 99717

Prime factors of 99717 are 3, 43, 773. Prime factorization of 99717 in exponential form is:

99717 = 31 × 431 × 7731

Now multiplying the highest exponent prime factors to calculate the LCM of 99699 and 99717.

LCM(99699,99717) = 31 × 1671 × 1991 × 431 × 7731
LCM(99699,99717) = 3313895061