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What is the Least Common Multiple of 55404 and 55424?

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 55404 and 55424 is 767677824.

LCM(55404,55424) = 767677824

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Least Common Multiple of 55404 and 55424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55404 and 55424, than apply into the LCM equation.

GCF(55404,55424) = 4
LCM(55404,55424) = ( 55404 × 55424) / 4
LCM(55404,55424) = 3070711296 / 4
LCM(55404,55424) = 767677824

Least Common Multiple (LCM) of 55404 and 55424 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55404 and 55424. First we will calculate the prime factors of 55404 and 55424.

Prime Factorization of 55404

Prime factors of 55404 are 2, 3, 19. Prime factorization of 55404 in exponential form is:

55404 = 22 × 36 × 191

Prime Factorization of 55424

Prime factors of 55424 are 2, 433. Prime factorization of 55424 in exponential form is:

55424 = 27 × 4331

Now multiplying the highest exponent prime factors to calculate the LCM of 55404 and 55424.

LCM(55404,55424) = 27 × 36 × 191 × 4331
LCM(55404,55424) = 767677824