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What is the Least Common Multiple of 16191 and 16209?

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 16191 and 16209 is 29159991.

LCM(16191,16209) = 29159991

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Least Common Multiple of 16191 and 16209 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16191 and 16209, than apply into the LCM equation.

GCF(16191,16209) = 9
LCM(16191,16209) = ( 16191 × 16209) / 9
LCM(16191,16209) = 262439919 / 9
LCM(16191,16209) = 29159991

Least Common Multiple (LCM) of 16191 and 16209 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16191 and 16209. First we will calculate the prime factors of 16191 and 16209.

Prime Factorization of 16191

Prime factors of 16191 are 3, 7, 257. Prime factorization of 16191 in exponential form is:

16191 = 32 × 71 × 2571

Prime Factorization of 16209

Prime factors of 16209 are 3, 1801. Prime factorization of 16209 in exponential form is:

16209 = 32 × 18011

Now multiplying the highest exponent prime factors to calculate the LCM of 16191 and 16209.

LCM(16191,16209) = 32 × 71 × 2571 × 18011
LCM(16191,16209) = 29159991