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What is the Least Common Multiple of 29019 and 29027?

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 29019 and 29027 is 842334513.

LCM(29019,29027) = 842334513

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Least Common Multiple of 29019 and 29027 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29019 and 29027, than apply into the LCM equation.

GCF(29019,29027) = 1
LCM(29019,29027) = ( 29019 × 29027) / 1
LCM(29019,29027) = 842334513 / 1
LCM(29019,29027) = 842334513

Least Common Multiple (LCM) of 29019 and 29027 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29019 and 29027. First we will calculate the prime factors of 29019 and 29027.

Prime Factorization of 29019

Prime factors of 29019 are 3, 17, 569. Prime factorization of 29019 in exponential form is:

29019 = 31 × 171 × 5691

Prime Factorization of 29027

Prime factors of 29027 are 29027. Prime factorization of 29027 in exponential form is:

29027 = 290271

Now multiplying the highest exponent prime factors to calculate the LCM of 29019 and 29027.

LCM(29019,29027) = 31 × 171 × 5691 × 290271
LCM(29019,29027) = 842334513