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What is the Least Common Multiple of 54019 and 54039?

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 54019 and 54039 is 2919132741.

LCM(54019,54039) = 2919132741

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Least Common Multiple of 54019 and 54039 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54019 and 54039, than apply into the LCM equation.

GCF(54019,54039) = 1
LCM(54019,54039) = ( 54019 × 54039) / 1
LCM(54019,54039) = 2919132741 / 1
LCM(54019,54039) = 2919132741

Least Common Multiple (LCM) of 54019 and 54039 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54019 and 54039. First we will calculate the prime factors of 54019 and 54039.

Prime Factorization of 54019

Prime factors of 54019 are 7, 7717. Prime factorization of 54019 in exponential form is:

54019 = 71 × 77171

Prime Factorization of 54039

Prime factors of 54039 are 3, 18013. Prime factorization of 54039 in exponential form is:

54039 = 31 × 180131

Now multiplying the highest exponent prime factors to calculate the LCM of 54019 and 54039.

LCM(54019,54039) = 71 × 77171 × 31 × 180131
LCM(54019,54039) = 2919132741