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What is the Least Common Multiple of 55177 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 55177 and 55185 is 3044942745.

LCM(55177,55185) = 3044942745

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Least Common Multiple of 55177 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 55177 and 55185, than apply into the LCM equation.

GCF(55177,55185) = 1
LCM(55177,55185) = ( 55177 × 55185) / 1
LCM(55177,55185) = 3044942745 / 1
LCM(55177,55185) = 3044942745

Least Common Multiple (LCM) of 55177 and 55185 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55177 and 55185. First we will calculate the prime factors of 55177 and 55185.

Prime Factorization of 55177

Prime factors of 55177 are 23, 2399. Prime factorization of 55177 in exponential form is:

55177 = 231 × 23991

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 55177 and 55185.

LCM(55177,55185) = 231 × 23991 × 31 × 51 × 131 × 2831
LCM(55177,55185) = 3044942745