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What is the Least Common Multiple of 5555 and 5571?

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 5555 and 5571 is 30946905.

LCM(5555,5571) = 30946905

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Least Common Multiple of 5555 and 5571 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5555 and 5571, than apply into the LCM equation.

GCF(5555,5571) = 1
LCM(5555,5571) = ( 5555 × 5571) / 1
LCM(5555,5571) = 30946905 / 1
LCM(5555,5571) = 30946905

Least Common Multiple (LCM) of 5555 and 5571 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5555 and 5571. First we will calculate the prime factors of 5555 and 5571.

Prime Factorization of 5555

Prime factors of 5555 are 5, 11, 101. Prime factorization of 5555 in exponential form is:

5555 = 51 × 111 × 1011

Prime Factorization of 5571

Prime factors of 5571 are 3, 619. Prime factorization of 5571 in exponential form is:

5571 = 32 × 6191

Now multiplying the highest exponent prime factors to calculate the LCM of 5555 and 5571.

LCM(5555,5571) = 51 × 111 × 1011 × 32 × 6191
LCM(5555,5571) = 30946905