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What is the Least Common Multiple of 29033 and 29043?

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 29043 is 843205419.

LCM(29033,29043) = 843205419

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Least Common Multiple of 29033 and 29043 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 29043, than apply into the LCM equation.

GCF(29033,29043) = 1
LCM(29033,29043) = ( 29033 × 29043) / 1
LCM(29033,29043) = 843205419 / 1
LCM(29033,29043) = 843205419

Least Common Multiple (LCM) of 29033 and 29043 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29033 and 29043. First we will calculate the prime factors of 29033 and 29043.

Prime Factorization of 29033

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

29033 = 290331

Prime Factorization of 29043

Prime factors of 29043 are 3, 7, 461. Prime factorization of 29043 in exponential form is:

29043 = 32 × 71 × 4611

Now multiplying the highest exponent prime factors to calculate the LCM of 29033 and 29043.

LCM(29033,29043) = 290331 × 32 × 71 × 4611
LCM(29033,29043) = 843205419