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What is the Least Common Multiple of 16887 and 16905?

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 16887 and 16905 is 95158245.

LCM(16887,16905) = 95158245

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Least Common Multiple of 16887 and 16905 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16887 and 16905, than apply into the LCM equation.

GCF(16887,16905) = 3
LCM(16887,16905) = ( 16887 × 16905) / 3
LCM(16887,16905) = 285474735 / 3
LCM(16887,16905) = 95158245

Least Common Multiple (LCM) of 16887 and 16905 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16887 and 16905. First we will calculate the prime factors of 16887 and 16905.

Prime Factorization of 16887

Prime factors of 16887 are 3, 13, 433. Prime factorization of 16887 in exponential form is:

16887 = 31 × 131 × 4331

Prime Factorization of 16905

Prime factors of 16905 are 3, 5, 7, 23. Prime factorization of 16905 in exponential form is:

16905 = 31 × 51 × 72 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 16887 and 16905.

LCM(16887,16905) = 31 × 131 × 4331 × 51 × 72 × 231
LCM(16887,16905) = 95158245