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What is the Least Common Multiple of 55547 and 55564?

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 55547 and 55564 is 3086413508.

LCM(55547,55564) = 3086413508

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Least Common Multiple of 55547 and 55564 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55547 and 55564, than apply into the LCM equation.

GCF(55547,55564) = 1
LCM(55547,55564) = ( 55547 × 55564) / 1
LCM(55547,55564) = 3086413508 / 1
LCM(55547,55564) = 3086413508

Least Common Multiple (LCM) of 55547 and 55564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55547 and 55564. First we will calculate the prime factors of 55547 and 55564.

Prime Factorization of 55547

Prime factors of 55547 are 55547. Prime factorization of 55547 in exponential form is:

55547 = 555471

Prime Factorization of 55564

Prime factors of 55564 are 2, 29, 479. Prime factorization of 55564 in exponential form is:

55564 = 22 × 291 × 4791

Now multiplying the highest exponent prime factors to calculate the LCM of 55547 and 55564.

LCM(55547,55564) = 555471 × 22 × 291 × 4791
LCM(55547,55564) = 3086413508