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What is the Least Common Multiple of 16686 and 16699?

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 16686 and 16699 is 278639514.

LCM(16686,16699) = 278639514

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Least Common Multiple of 16686 and 16699 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16686 and 16699, than apply into the LCM equation.

GCF(16686,16699) = 1
LCM(16686,16699) = ( 16686 × 16699) / 1
LCM(16686,16699) = 278639514 / 1
LCM(16686,16699) = 278639514

Least Common Multiple (LCM) of 16686 and 16699 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16686 and 16699. First we will calculate the prime factors of 16686 and 16699.

Prime Factorization of 16686

Prime factors of 16686 are 2, 3, 103. Prime factorization of 16686 in exponential form is:

16686 = 21 × 34 × 1031

Prime Factorization of 16699

Prime factors of 16699 are 16699. Prime factorization of 16699 in exponential form is:

16699 = 166991

Now multiplying the highest exponent prime factors to calculate the LCM of 16686 and 16699.

LCM(16686,16699) = 21 × 34 × 1031 × 166991
LCM(16686,16699) = 278639514