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What is the Least Common Multiple of 16561 and 16578?

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 16578 is 274548258.

LCM(16561,16578) = 274548258

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Least Common Multiple of 16561 and 16578 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 16578, than apply into the LCM equation.

GCF(16561,16578) = 1
LCM(16561,16578) = ( 16561 × 16578) / 1
LCM(16561,16578) = 274548258 / 1
LCM(16561,16578) = 274548258

Least Common Multiple (LCM) of 16561 and 16578 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16561 and 16578. First we will calculate the prime factors of 16561 and 16578.

Prime Factorization of 16561

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

16561 = 165611

Prime Factorization of 16578

Prime factors of 16578 are 2, 3, 307. Prime factorization of 16578 in exponential form is:

16578 = 21 × 33 × 3071

Now multiplying the highest exponent prime factors to calculate the LCM of 16561 and 16578.

LCM(16561,16578) = 165611 × 21 × 33 × 3071
LCM(16561,16578) = 274548258