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What is the Least Common Multiple of 16290 and 16299?

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 16290 and 16299 is 29501190.

LCM(16290,16299) = 29501190

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Least Common Multiple of 16290 and 16299 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16290 and 16299, than apply into the LCM equation.

GCF(16290,16299) = 9
LCM(16290,16299) = ( 16290 × 16299) / 9
LCM(16290,16299) = 265510710 / 9
LCM(16290,16299) = 29501190

Least Common Multiple (LCM) of 16290 and 16299 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16290 and 16299. First we will calculate the prime factors of 16290 and 16299.

Prime Factorization of 16290

Prime factors of 16290 are 2, 3, 5, 181. Prime factorization of 16290 in exponential form is:

16290 = 21 × 32 × 51 × 1811

Prime Factorization of 16299

Prime factors of 16299 are 3, 1811. Prime factorization of 16299 in exponential form is:

16299 = 32 × 18111

Now multiplying the highest exponent prime factors to calculate the LCM of 16290 and 16299.

LCM(16290,16299) = 21 × 32 × 51 × 1811 × 18111
LCM(16290,16299) = 29501190