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What is the Least Common Multiple of 55568 and 55575?

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 55568 and 55575 is 3088191600.

LCM(55568,55575) = 3088191600

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Least Common Multiple of 55568 and 55575 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55568 and 55575, than apply into the LCM equation.

GCF(55568,55575) = 1
LCM(55568,55575) = ( 55568 × 55575) / 1
LCM(55568,55575) = 3088191600 / 1
LCM(55568,55575) = 3088191600

Least Common Multiple (LCM) of 55568 and 55575 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55568 and 55575. First we will calculate the prime factors of 55568 and 55575.

Prime Factorization of 55568

Prime factors of 55568 are 2, 23, 151. Prime factorization of 55568 in exponential form is:

55568 = 24 × 231 × 1511

Prime Factorization of 55575

Prime factors of 55575 are 3, 5, 13, 19. Prime factorization of 55575 in exponential form is:

55575 = 32 × 52 × 131 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 55568 and 55575.

LCM(55568,55575) = 24 × 231 × 1511 × 32 × 52 × 131 × 191
LCM(55568,55575) = 3088191600