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What is the Least Common Multiple of 559 and 571?

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 559 and 571 is 319189.

LCM(559,571) = 319189

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Least Common Multiple of 559 and 571 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 559 and 571, than apply into the LCM equation.

GCF(559,571) = 1
LCM(559,571) = ( 559 × 571) / 1
LCM(559,571) = 319189 / 1
LCM(559,571) = 319189

Least Common Multiple (LCM) of 559 and 571 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 559 and 571. First we will calculate the prime factors of 559 and 571.

Prime Factorization of 559

Prime factors of 559 are 13, 43. Prime factorization of 559 in exponential form is:

559 = 131 × 431

Prime Factorization of 571

Prime factors of 571 are 571. Prime factorization of 571 in exponential form is:

571 = 5711

Now multiplying the highest exponent prime factors to calculate the LCM of 559 and 571.

LCM(559,571) = 131 × 431 × 5711
LCM(559,571) = 319189