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What is the Least Common Multiple of 55403 and 55415?

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 55403 and 55415 is 3070157245.

LCM(55403,55415) = 3070157245

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Least Common Multiple of 55403 and 55415 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55403 and 55415, than apply into the LCM equation.

GCF(55403,55415) = 1
LCM(55403,55415) = ( 55403 × 55415) / 1
LCM(55403,55415) = 3070157245 / 1
LCM(55403,55415) = 3070157245

Least Common Multiple (LCM) of 55403 and 55415 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55403 and 55415. First we will calculate the prime factors of 55403 and 55415.

Prime Factorization of 55403

Prime factors of 55403 are 17, 3259. Prime factorization of 55403 in exponential form is:

55403 = 171 × 32591

Prime Factorization of 55415

Prime factors of 55415 are 5, 11083. Prime factorization of 55415 in exponential form is:

55415 = 51 × 110831

Now multiplying the highest exponent prime factors to calculate the LCM of 55403 and 55415.

LCM(55403,55415) = 171 × 32591 × 51 × 110831
LCM(55403,55415) = 3070157245