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What is the Least Common Multiple of 16599 and 16608?

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 16599 and 16608 is 91892064.

LCM(16599,16608) = 91892064

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Least Common Multiple of 16599 and 16608 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16599 and 16608, than apply into the LCM equation.

GCF(16599,16608) = 3
LCM(16599,16608) = ( 16599 × 16608) / 3
LCM(16599,16608) = 275676192 / 3
LCM(16599,16608) = 91892064

Least Common Multiple (LCM) of 16599 and 16608 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16599 and 16608. First we will calculate the prime factors of 16599 and 16608.

Prime Factorization of 16599

Prime factors of 16599 are 3, 11, 503. Prime factorization of 16599 in exponential form is:

16599 = 31 × 111 × 5031

Prime Factorization of 16608

Prime factors of 16608 are 2, 3, 173. Prime factorization of 16608 in exponential form is:

16608 = 25 × 31 × 1731

Now multiplying the highest exponent prime factors to calculate the LCM of 16599 and 16608.

LCM(16599,16608) = 31 × 111 × 5031 × 25 × 1731
LCM(16599,16608) = 91892064