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What is the Least Common Multiple of 55832 and 55841?

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 55832 and 55841 is 3117714712.

LCM(55832,55841) = 3117714712

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Least Common Multiple of 55832 and 55841 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55832 and 55841, than apply into the LCM equation.

GCF(55832,55841) = 1
LCM(55832,55841) = ( 55832 × 55841) / 1
LCM(55832,55841) = 3117714712 / 1
LCM(55832,55841) = 3117714712

Least Common Multiple (LCM) of 55832 and 55841 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55832 and 55841. First we will calculate the prime factors of 55832 and 55841.

Prime Factorization of 55832

Prime factors of 55832 are 2, 7, 997. Prime factorization of 55832 in exponential form is:

55832 = 23 × 71 × 9971

Prime Factorization of 55841

Prime factors of 55841 are 19, 2939. Prime factorization of 55841 in exponential form is:

55841 = 191 × 29391

Now multiplying the highest exponent prime factors to calculate the LCM of 55832 and 55841.

LCM(55832,55841) = 23 × 71 × 9971 × 191 × 29391
LCM(55832,55841) = 3117714712