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What is the Least Common Multiple of 16571 and 16590?

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 16571 and 16590 is 274912890.

LCM(16571,16590) = 274912890

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Least Common Multiple of 16571 and 16590 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16571 and 16590, than apply into the LCM equation.

GCF(16571,16590) = 1
LCM(16571,16590) = ( 16571 × 16590) / 1
LCM(16571,16590) = 274912890 / 1
LCM(16571,16590) = 274912890

Least Common Multiple (LCM) of 16571 and 16590 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16571 and 16590. First we will calculate the prime factors of 16571 and 16590.

Prime Factorization of 16571

Prime factors of 16571 are 73, 227. Prime factorization of 16571 in exponential form is:

16571 = 731 × 2271

Prime Factorization of 16590

Prime factors of 16590 are 2, 3, 5, 7, 79. Prime factorization of 16590 in exponential form is:

16590 = 21 × 31 × 51 × 71 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 16571 and 16590.

LCM(16571,16590) = 731 × 2271 × 21 × 31 × 51 × 71 × 791
LCM(16571,16590) = 274912890