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What is the Least Common Multiple of 16561 and 16569?

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 16561 and 16569 is 274399209.

LCM(16561,16569) = 274399209

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Least Common Multiple of 16561 and 16569 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16561 and 16569, than apply into the LCM equation.

GCF(16561,16569) = 1
LCM(16561,16569) = ( 16561 × 16569) / 1
LCM(16561,16569) = 274399209 / 1
LCM(16561,16569) = 274399209

Least Common Multiple (LCM) of 16561 and 16569 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16561 and 16569. First we will calculate the prime factors of 16561 and 16569.

Prime Factorization of 16561

Prime factors of 16561 are 16561. Prime factorization of 16561 in exponential form is:

16561 = 165611

Prime Factorization of 16569

Prime factors of 16569 are 3, 7, 263. Prime factorization of 16569 in exponential form is:

16569 = 32 × 71 × 2631

Now multiplying the highest exponent prime factors to calculate the LCM of 16561 and 16569.

LCM(16561,16569) = 165611 × 32 × 71 × 2631
LCM(16561,16569) = 274399209