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What is the Least Common Multiple of 29033 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 29033 and 29037 is 843031221.

LCM(29033,29037) = 843031221

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Least Common Multiple of 29033 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 29033 and 29037, than apply into the LCM equation.

GCF(29033,29037) = 1
LCM(29033,29037) = ( 29033 × 29037) / 1
LCM(29033,29037) = 843031221 / 1
LCM(29033,29037) = 843031221

Least Common Multiple (LCM) of 29033 and 29037 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29033 and 29037. First we will calculate the prime factors of 29033 and 29037.

Prime Factorization of 29033

Prime factors of 29033 are 29033. Prime factorization of 29033 in exponential form is:

29033 = 290331

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 29033 and 29037.

LCM(29033,29037) = 290331 × 31 × 96791
LCM(29033,29037) = 843031221