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What is the Least Common Multiple of 55828 and 55837?

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 55828 and 55837 is 3117268036.

LCM(55828,55837) = 3117268036

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Least Common Multiple of 55828 and 55837 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55828 and 55837, than apply into the LCM equation.

GCF(55828,55837) = 1
LCM(55828,55837) = ( 55828 × 55837) / 1
LCM(55828,55837) = 3117268036 / 1
LCM(55828,55837) = 3117268036

Least Common Multiple (LCM) of 55828 and 55837 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55828 and 55837. First we will calculate the prime factors of 55828 and 55837.

Prime Factorization of 55828

Prime factors of 55828 are 2, 17, 821. Prime factorization of 55828 in exponential form is:

55828 = 22 × 171 × 8211

Prime Factorization of 55837

Prime factors of 55837 are 55837. Prime factorization of 55837 in exponential form is:

55837 = 558371

Now multiplying the highest exponent prime factors to calculate the LCM of 55828 and 55837.

LCM(55828,55837) = 22 × 171 × 8211 × 558371
LCM(55828,55837) = 3117268036