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What is the Least Common Multiple of 16389 and 16407?

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 16389 and 16407 is 29877147.

LCM(16389,16407) = 29877147

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Least Common Multiple of 16389 and 16407 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16389 and 16407, than apply into the LCM equation.

GCF(16389,16407) = 9
LCM(16389,16407) = ( 16389 × 16407) / 9
LCM(16389,16407) = 268894323 / 9
LCM(16389,16407) = 29877147

Least Common Multiple (LCM) of 16389 and 16407 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16389 and 16407. First we will calculate the prime factors of 16389 and 16407.

Prime Factorization of 16389

Prime factors of 16389 are 3, 607. Prime factorization of 16389 in exponential form is:

16389 = 33 × 6071

Prime Factorization of 16407

Prime factors of 16407 are 3, 1823. Prime factorization of 16407 in exponential form is:

16407 = 32 × 18231

Now multiplying the highest exponent prime factors to calculate the LCM of 16389 and 16407.

LCM(16389,16407) = 33 × 6071 × 18231
LCM(16389,16407) = 29877147