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What is the Least Common Multiple of 55879 and 55883?

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 55879 and 55883 is 3122686157.

LCM(55879,55883) = 3122686157

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Least Common Multiple of 55879 and 55883 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55879 and 55883, than apply into the LCM equation.

GCF(55879,55883) = 1
LCM(55879,55883) = ( 55879 × 55883) / 1
LCM(55879,55883) = 3122686157 / 1
LCM(55879,55883) = 3122686157

Least Common Multiple (LCM) of 55879 and 55883 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55879 and 55883. First we will calculate the prime factors of 55879 and 55883.

Prime Factorization of 55879

Prime factors of 55879 are 17, 19, 173. Prime factorization of 55879 in exponential form is:

55879 = 171 × 191 × 1731

Prime Factorization of 55883

Prime factors of 55883 are 29, 41, 47. Prime factorization of 55883 in exponential form is:

55883 = 291 × 411 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 55879 and 55883.

LCM(55879,55883) = 171 × 191 × 1731 × 291 × 411 × 471
LCM(55879,55883) = 3122686157