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What is the Least Common Multiple of 55173 and 55185?

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 55173 and 55185 is 1014907335.

LCM(55173,55185) = 1014907335

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Least Common Multiple of 55173 and 55185 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55173 and 55185, than apply into the LCM equation.

GCF(55173,55185) = 3
LCM(55173,55185) = ( 55173 × 55185) / 3
LCM(55173,55185) = 3044722005 / 3
LCM(55173,55185) = 1014907335

Least Common Multiple (LCM) of 55173 and 55185 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55173 and 55185. First we will calculate the prime factors of 55173 and 55185.

Prime Factorization of 55173

Prime factors of 55173 are 3, 53, 347. Prime factorization of 55173 in exponential form is:

55173 = 31 × 531 × 3471

Prime Factorization of 55185

Prime factors of 55185 are 3, 5, 13, 283. Prime factorization of 55185 in exponential form is:

55185 = 31 × 51 × 131 × 2831

Now multiplying the highest exponent prime factors to calculate the LCM of 55173 and 55185.

LCM(55173,55185) = 31 × 531 × 3471 × 51 × 131 × 2831
LCM(55173,55185) = 1014907335