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What is the Least Common Multiple of 55329 and 55334?

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 55329 and 55334 is 3061574886.

LCM(55329,55334) = 3061574886

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Least Common Multiple of 55329 and 55334 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55329 and 55334, than apply into the LCM equation.

GCF(55329,55334) = 1
LCM(55329,55334) = ( 55329 × 55334) / 1
LCM(55329,55334) = 3061574886 / 1
LCM(55329,55334) = 3061574886

Least Common Multiple (LCM) of 55329 and 55334 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55329 and 55334. First we will calculate the prime factors of 55329 and 55334.

Prime Factorization of 55329

Prime factors of 55329 are 3, 18443. Prime factorization of 55329 in exponential form is:

55329 = 31 × 184431

Prime Factorization of 55334

Prime factors of 55334 are 2, 73, 379. Prime factorization of 55334 in exponential form is:

55334 = 21 × 731 × 3791

Now multiplying the highest exponent prime factors to calculate the LCM of 55329 and 55334.

LCM(55329,55334) = 31 × 184431 × 21 × 731 × 3791
LCM(55329,55334) = 3061574886