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What is the Least Common Multiple of 9909 and 9918?

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 9909 and 9918 is 10919718.

LCM(9909,9918) = 10919718

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Least Common Multiple of 9909 and 9918 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9909 and 9918, than apply into the LCM equation.

GCF(9909,9918) = 9
LCM(9909,9918) = ( 9909 × 9918) / 9
LCM(9909,9918) = 98277462 / 9
LCM(9909,9918) = 10919718

Least Common Multiple (LCM) of 9909 and 9918 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9909 and 9918. First we will calculate the prime factors of 9909 and 9918.

Prime Factorization of 9909

Prime factors of 9909 are 3, 367. Prime factorization of 9909 in exponential form is:

9909 = 33 × 3671

Prime Factorization of 9918

Prime factors of 9918 are 2, 3, 19, 29. Prime factorization of 9918 in exponential form is:

9918 = 21 × 32 × 191 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 9909 and 9918.

LCM(9909,9918) = 33 × 3671 × 21 × 191 × 291
LCM(9909,9918) = 10919718