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What is the Least Common Multiple of 29067 and 29073?

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 29067 and 29073 is 281688297.

LCM(29067,29073) = 281688297

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Least Common Multiple of 29067 and 29073 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29067 and 29073, than apply into the LCM equation.

GCF(29067,29073) = 3
LCM(29067,29073) = ( 29067 × 29073) / 3
LCM(29067,29073) = 845064891 / 3
LCM(29067,29073) = 281688297

Least Common Multiple (LCM) of 29067 and 29073 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29067 and 29073. First we will calculate the prime factors of 29067 and 29073.

Prime Factorization of 29067

Prime factors of 29067 are 3, 9689. Prime factorization of 29067 in exponential form is:

29067 = 31 × 96891

Prime Factorization of 29073

Prime factors of 29073 are 3, 11, 881. Prime factorization of 29073 in exponential form is:

29073 = 31 × 111 × 8811

Now multiplying the highest exponent prime factors to calculate the LCM of 29067 and 29073.

LCM(29067,29073) = 31 × 96891 × 111 × 8811
LCM(29067,29073) = 281688297