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What is the Least Common Multiple of 16557 and 16561?

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 16557 and 16561 is 274200477.

LCM(16557,16561) = 274200477

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Least Common Multiple of 16557 and 16561 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16557 and 16561, than apply into the LCM equation.

GCF(16557,16561) = 1
LCM(16557,16561) = ( 16557 × 16561) / 1
LCM(16557,16561) = 274200477 / 1
LCM(16557,16561) = 274200477

Least Common Multiple (LCM) of 16557 and 16561 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16557 and 16561. First we will calculate the prime factors of 16557 and 16561.

Prime Factorization of 16557

Prime factors of 16557 are 3, 5519. Prime factorization of 16557 in exponential form is:

16557 = 31 × 55191

Prime Factorization of 16561

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

16561 = 165611

Now multiplying the highest exponent prime factors to calculate the LCM of 16557 and 16561.

LCM(16557,16561) = 31 × 55191 × 165611
LCM(16557,16561) = 274200477