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What is the Least Common Multiple of 10899 and 10908?

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 10899 and 10908 is 13209588.

LCM(10899,10908) = 13209588

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Least Common Multiple of 10899 and 10908 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10899 and 10908, than apply into the LCM equation.

GCF(10899,10908) = 9
LCM(10899,10908) = ( 10899 × 10908) / 9
LCM(10899,10908) = 118886292 / 9
LCM(10899,10908) = 13209588

Least Common Multiple (LCM) of 10899 and 10908 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10899 and 10908. First we will calculate the prime factors of 10899 and 10908.

Prime Factorization of 10899

Prime factors of 10899 are 3, 7, 173. Prime factorization of 10899 in exponential form is:

10899 = 32 × 71 × 1731

Prime Factorization of 10908

Prime factors of 10908 are 2, 3, 101. Prime factorization of 10908 in exponential form is:

10908 = 22 × 33 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 10899 and 10908.

LCM(10899,10908) = 33 × 71 × 1731 × 22 × 1011
LCM(10899,10908) = 13209588