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What is the Least Common Multiple of 29367 and 29381?

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 29367 and 29381 is 862831827.

LCM(29367,29381) = 862831827

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Least Common Multiple of 29367 and 29381 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29367 and 29381, than apply into the LCM equation.

GCF(29367,29381) = 1
LCM(29367,29381) = ( 29367 × 29381) / 1
LCM(29367,29381) = 862831827 / 1
LCM(29367,29381) = 862831827

Least Common Multiple (LCM) of 29367 and 29381 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29367 and 29381. First we will calculate the prime factors of 29367 and 29381.

Prime Factorization of 29367

Prime factors of 29367 are 3, 13, 251. Prime factorization of 29367 in exponential form is:

29367 = 32 × 131 × 2511

Prime Factorization of 29381

Prime factors of 29381 are 11, 2671. Prime factorization of 29381 in exponential form is:

29381 = 111 × 26711

Now multiplying the highest exponent prime factors to calculate the LCM of 29367 and 29381.

LCM(29367,29381) = 32 × 131 × 2511 × 111 × 26711
LCM(29367,29381) = 862831827