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What is the Least Common Multiple of 56005 and 56013?

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 56013 is 3137008065.

LCM(56005,56013) = 3137008065

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Least Common Multiple of 56005 and 56013 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 56013, than apply into the LCM equation.

GCF(56005,56013) = 1
LCM(56005,56013) = ( 56005 × 56013) / 1
LCM(56005,56013) = 3137008065 / 1
LCM(56005,56013) = 3137008065

Least Common Multiple (LCM) of 56005 and 56013 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56005 and 56013. First we will calculate the prime factors of 56005 and 56013.

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 56013

Prime factors of 56013 are 3, 18671. Prime factorization of 56013 in exponential form is:

56013 = 31 × 186711

Now multiplying the highest exponent prime factors to calculate the LCM of 56005 and 56013.

LCM(56005,56013) = 51 × 231 × 4871 × 31 × 186711
LCM(56005,56013) = 3137008065