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What is the Least Common Multiple of 55579 and 55592?

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 55579 and 55592 is 3089747768.

LCM(55579,55592) = 3089747768

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Least Common Multiple of 55579 and 55592 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55579 and 55592, than apply into the LCM equation.

GCF(55579,55592) = 1
LCM(55579,55592) = ( 55579 × 55592) / 1
LCM(55579,55592) = 3089747768 / 1
LCM(55579,55592) = 3089747768

Least Common Multiple (LCM) of 55579 and 55592 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55579 and 55592. First we will calculate the prime factors of 55579 and 55592.

Prime Factorization of 55579

Prime factors of 55579 are 55579. Prime factorization of 55579 in exponential form is:

55579 = 555791

Prime Factorization of 55592

Prime factors of 55592 are 2, 6949. Prime factorization of 55592 in exponential form is:

55592 = 23 × 69491

Now multiplying the highest exponent prime factors to calculate the LCM of 55579 and 55592.

LCM(55579,55592) = 555791 × 23 × 69491
LCM(55579,55592) = 3089747768