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What is the Least Common Multiple of 56173 and 56184?

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 56173 and 56184 is 3156023832.

LCM(56173,56184) = 3156023832

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Least Common Multiple of 56173 and 56184 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56173 and 56184, than apply into the LCM equation.

GCF(56173,56184) = 1
LCM(56173,56184) = ( 56173 × 56184) / 1
LCM(56173,56184) = 3156023832 / 1
LCM(56173,56184) = 3156023832

Least Common Multiple (LCM) of 56173 and 56184 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56173 and 56184. First we will calculate the prime factors of 56173 and 56184.

Prime Factorization of 56173

Prime factors of 56173 are 13, 29, 149. Prime factorization of 56173 in exponential form is:

56173 = 131 × 291 × 1491

Prime Factorization of 56184

Prime factors of 56184 are 2, 3, 2341. Prime factorization of 56184 in exponential form is:

56184 = 23 × 31 × 23411

Now multiplying the highest exponent prime factors to calculate the LCM of 56173 and 56184.

LCM(56173,56184) = 131 × 291 × 1491 × 23 × 31 × 23411
LCM(56173,56184) = 3156023832