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What is the Least Common Multiple of 16784 and 16790?

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 16784 and 16790 is 140901680.

LCM(16784,16790) = 140901680

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Least Common Multiple of 16784 and 16790 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16784 and 16790, than apply into the LCM equation.

GCF(16784,16790) = 2
LCM(16784,16790) = ( 16784 × 16790) / 2
LCM(16784,16790) = 281803360 / 2
LCM(16784,16790) = 140901680

Least Common Multiple (LCM) of 16784 and 16790 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16784 and 16790. First we will calculate the prime factors of 16784 and 16790.

Prime Factorization of 16784

Prime factors of 16784 are 2, 1049. Prime factorization of 16784 in exponential form is:

16784 = 24 × 10491

Prime Factorization of 16790

Prime factors of 16790 are 2, 5, 23, 73. Prime factorization of 16790 in exponential form is:

16790 = 21 × 51 × 231 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 16784 and 16790.

LCM(16784,16790) = 24 × 10491 × 51 × 231 × 731
LCM(16784,16790) = 140901680