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What is the Least Common Multiple of 16499 and 16512?

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 16499 and 16512 is 272431488.

LCM(16499,16512) = 272431488

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Least Common Multiple of 16499 and 16512 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16499 and 16512, than apply into the LCM equation.

GCF(16499,16512) = 1
LCM(16499,16512) = ( 16499 × 16512) / 1
LCM(16499,16512) = 272431488 / 1
LCM(16499,16512) = 272431488

Least Common Multiple (LCM) of 16499 and 16512 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16499 and 16512. First we will calculate the prime factors of 16499 and 16512.

Prime Factorization of 16499

Prime factors of 16499 are 7, 2357. Prime factorization of 16499 in exponential form is:

16499 = 71 × 23571

Prime Factorization of 16512

Prime factors of 16512 are 2, 3, 43. Prime factorization of 16512 in exponential form is:

16512 = 27 × 31 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 16499 and 16512.

LCM(16499,16512) = 71 × 23571 × 27 × 31 × 431
LCM(16499,16512) = 272431488