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What is the Least Common Multiple of 54017 and 54034?

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 54017 and 54034 is 2918754578.

LCM(54017,54034) = 2918754578

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Least Common Multiple of 54017 and 54034 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54017 and 54034, than apply into the LCM equation.

GCF(54017,54034) = 1
LCM(54017,54034) = ( 54017 × 54034) / 1
LCM(54017,54034) = 2918754578 / 1
LCM(54017,54034) = 2918754578

Least Common Multiple (LCM) of 54017 and 54034 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54017 and 54034. First we will calculate the prime factors of 54017 and 54034.

Prime Factorization of 54017

Prime factors of 54017 are 19, 2843. Prime factorization of 54017 in exponential form is:

54017 = 191 × 28431

Prime Factorization of 54034

Prime factors of 54034 are 2, 27017. Prime factorization of 54034 in exponential form is:

54034 = 21 × 270171

Now multiplying the highest exponent prime factors to calculate the LCM of 54017 and 54034.

LCM(54017,54034) = 191 × 28431 × 21 × 270171
LCM(54017,54034) = 2918754578