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What is the Least Common Multiple of 55328 and 55333?

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 55328 and 55333 is 3061464224.

LCM(55328,55333) = 3061464224

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Least Common Multiple of 55328 and 55333 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55328 and 55333, than apply into the LCM equation.

GCF(55328,55333) = 1
LCM(55328,55333) = ( 55328 × 55333) / 1
LCM(55328,55333) = 3061464224 / 1
LCM(55328,55333) = 3061464224

Least Common Multiple (LCM) of 55328 and 55333 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55328 and 55333. First we will calculate the prime factors of 55328 and 55333.

Prime Factorization of 55328

Prime factors of 55328 are 2, 7, 13, 19. Prime factorization of 55328 in exponential form is:

55328 = 25 × 71 × 131 × 191

Prime Factorization of 55333

Prime factors of 55333 are 55333. Prime factorization of 55333 in exponential form is:

55333 = 553331

Now multiplying the highest exponent prime factors to calculate the LCM of 55328 and 55333.

LCM(55328,55333) = 25 × 71 × 131 × 191 × 553331
LCM(55328,55333) = 3061464224