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What is the Least Common Multiple of 56005 and 56017?

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 56005 and 56017 is 3137232085.

LCM(56005,56017) = 3137232085

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Least Common Multiple of 56005 and 56017 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56005 and 56017, than apply into the LCM equation.

GCF(56005,56017) = 1
LCM(56005,56017) = ( 56005 × 56017) / 1
LCM(56005,56017) = 3137232085 / 1
LCM(56005,56017) = 3137232085

Least Common Multiple (LCM) of 56005 and 56017 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56005 and 56017. First we will calculate the prime factors of 56005 and 56017.

Prime Factorization of 56005

Prime factors of 56005 are 5, 23, 487. Prime factorization of 56005 in exponential form is:

56005 = 51 × 231 × 4871

Prime Factorization of 56017

Prime factors of 56017 are 13, 31, 139. Prime factorization of 56017 in exponential form is:

56017 = 131 × 311 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 56005 and 56017.

LCM(56005,56017) = 51 × 231 × 4871 × 131 × 311 × 1391
LCM(56005,56017) = 3137232085