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What is the Least Common Multiple of 16584 and 16588?

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 16584 and 16588 is 68773848.

LCM(16584,16588) = 68773848

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Least Common Multiple of 16584 and 16588 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16584 and 16588, than apply into the LCM equation.

GCF(16584,16588) = 4
LCM(16584,16588) = ( 16584 × 16588) / 4
LCM(16584,16588) = 275095392 / 4
LCM(16584,16588) = 68773848

Least Common Multiple (LCM) of 16584 and 16588 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16584 and 16588. First we will calculate the prime factors of 16584 and 16588.

Prime Factorization of 16584

Prime factors of 16584 are 2, 3, 691. Prime factorization of 16584 in exponential form is:

16584 = 23 × 31 × 6911

Prime Factorization of 16588

Prime factors of 16588 are 2, 11, 13, 29. Prime factorization of 16588 in exponential form is:

16588 = 22 × 111 × 131 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 16584 and 16588.

LCM(16584,16588) = 23 × 31 × 6911 × 111 × 131 × 291
LCM(16584,16588) = 68773848