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What is the Least Common Multiple of 55566 and 55571?

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 55566 and 55571 is 3087858186.

LCM(55566,55571) = 3087858186

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Least Common Multiple of 55566 and 55571 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55566 and 55571, than apply into the LCM equation.

GCF(55566,55571) = 1
LCM(55566,55571) = ( 55566 × 55571) / 1
LCM(55566,55571) = 3087858186 / 1
LCM(55566,55571) = 3087858186

Least Common Multiple (LCM) of 55566 and 55571 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55566 and 55571. First we will calculate the prime factors of 55566 and 55571.

Prime Factorization of 55566

Prime factors of 55566 are 2, 3, 7. Prime factorization of 55566 in exponential form is:

55566 = 21 × 34 × 73

Prime Factorization of 55571

Prime factors of 55571 are 61, 911. Prime factorization of 55571 in exponential form is:

55571 = 611 × 9111

Now multiplying the highest exponent prime factors to calculate the LCM of 55566 and 55571.

LCM(55566,55571) = 21 × 34 × 73 × 611 × 9111
LCM(55566,55571) = 3087858186