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What is the Least Common Multiple of 29027 and 29037?

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 29027 and 29037 is 842856999.

LCM(29027,29037) = 842856999

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Least Common Multiple of 29027 and 29037 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29027 and 29037, than apply into the LCM equation.

GCF(29027,29037) = 1
LCM(29027,29037) = ( 29027 × 29037) / 1
LCM(29027,29037) = 842856999 / 1
LCM(29027,29037) = 842856999

Least Common Multiple (LCM) of 29027 and 29037 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29027 and 29037. First we will calculate the prime factors of 29027 and 29037.

Prime Factorization of 29027

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

29027 = 290271

Prime Factorization of 29037

Prime factors of 29037 are 3, 9679. Prime factorization of 29037 in exponential form is:

29037 = 31 × 96791

Now multiplying the highest exponent prime factors to calculate the LCM of 29027 and 29037.

LCM(29027,29037) = 290271 × 31 × 96791
LCM(29027,29037) = 842856999