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What is the Least Common Multiple of 55587 and 55605?

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 55587 and 55605 is 1030305045.

LCM(55587,55605) = 1030305045

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Least Common Multiple of 55587 and 55605 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55587 and 55605, than apply into the LCM equation.

GCF(55587,55605) = 3
LCM(55587,55605) = ( 55587 × 55605) / 3
LCM(55587,55605) = 3090915135 / 3
LCM(55587,55605) = 1030305045

Least Common Multiple (LCM) of 55587 and 55605 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55587 and 55605. First we will calculate the prime factors of 55587 and 55605.

Prime Factorization of 55587

Prime factors of 55587 are 3, 7, 2647. Prime factorization of 55587 in exponential form is:

55587 = 31 × 71 × 26471

Prime Factorization of 55605

Prime factors of 55605 are 3, 5, 11, 337. Prime factorization of 55605 in exponential form is:

55605 = 31 × 51 × 111 × 3371

Now multiplying the highest exponent prime factors to calculate the LCM of 55587 and 55605.

LCM(55587,55605) = 31 × 71 × 26471 × 51 × 111 × 3371
LCM(55587,55605) = 1030305045