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What is the Least Common Multiple of 56018 and 56027?

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 56018 and 56027 is 3138520486.

LCM(56018,56027) = 3138520486

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Least Common Multiple of 56018 and 56027 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56018 and 56027, than apply into the LCM equation.

GCF(56018,56027) = 1
LCM(56018,56027) = ( 56018 × 56027) / 1
LCM(56018,56027) = 3138520486 / 1
LCM(56018,56027) = 3138520486

Least Common Multiple (LCM) of 56018 and 56027 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56018 and 56027. First we will calculate the prime factors of 56018 and 56027.

Prime Factorization of 56018

Prime factors of 56018 are 2, 37, 757. Prime factorization of 56018 in exponential form is:

56018 = 21 × 371 × 7571

Prime Factorization of 56027

Prime factors of 56027 are 179, 313. Prime factorization of 56027 in exponential form is:

56027 = 1791 × 3131

Now multiplying the highest exponent prime factors to calculate the LCM of 56018 and 56027.

LCM(56018,56027) = 21 × 371 × 7571 × 1791 × 3131
LCM(56018,56027) = 3138520486