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What is the Least Common Multiple of 55591 and 55603?

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 55591 and 55603 is 3091026373.

LCM(55591,55603) = 3091026373

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Least Common Multiple of 55591 and 55603 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55591 and 55603, than apply into the LCM equation.

GCF(55591,55603) = 1
LCM(55591,55603) = ( 55591 × 55603) / 1
LCM(55591,55603) = 3091026373 / 1
LCM(55591,55603) = 3091026373

Least Common Multiple (LCM) of 55591 and 55603 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55591 and 55603. First we will calculate the prime factors of 55591 and 55603.

Prime Factorization of 55591

Prime factors of 55591 are 23, 2417. Prime factorization of 55591 in exponential form is:

55591 = 231 × 24171

Prime Factorization of 55603

Prime factors of 55603 are 55603. Prime factorization of 55603 in exponential form is:

55603 = 556031

Now multiplying the highest exponent prime factors to calculate the LCM of 55591 and 55603.

LCM(55591,55603) = 231 × 24171 × 556031
LCM(55591,55603) = 3091026373