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What is the Least Common Multiple of 16576 and 16586?

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 16576 and 16586 is 137464768.

LCM(16576,16586) = 137464768

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Least Common Multiple of 16576 and 16586 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16576 and 16586, than apply into the LCM equation.

GCF(16576,16586) = 2
LCM(16576,16586) = ( 16576 × 16586) / 2
LCM(16576,16586) = 274929536 / 2
LCM(16576,16586) = 137464768

Least Common Multiple (LCM) of 16576 and 16586 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16576 and 16586. First we will calculate the prime factors of 16576 and 16586.

Prime Factorization of 16576

Prime factors of 16576 are 2, 7, 37. Prime factorization of 16576 in exponential form is:

16576 = 26 × 71 × 371

Prime Factorization of 16586

Prime factors of 16586 are 2, 8293. Prime factorization of 16586 in exponential form is:

16586 = 21 × 82931

Now multiplying the highest exponent prime factors to calculate the LCM of 16576 and 16586.

LCM(16576,16586) = 26 × 71 × 371 × 82931
LCM(16576,16586) = 137464768