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What is the Least Common Multiple of 29381 and 29397?

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 29381 and 29397 is 863713257.

LCM(29381,29397) = 863713257

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Least Common Multiple of 29381 and 29397 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29381 and 29397, than apply into the LCM equation.

GCF(29381,29397) = 1
LCM(29381,29397) = ( 29381 × 29397) / 1
LCM(29381,29397) = 863713257 / 1
LCM(29381,29397) = 863713257

Least Common Multiple (LCM) of 29381 and 29397 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29381 and 29397. First we will calculate the prime factors of 29381 and 29397.

Prime Factorization of 29381

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

29381 = 111 × 26711

Prime Factorization of 29397

Prime factors of 29397 are 3, 41, 239. Prime factorization of 29397 in exponential form is:

29397 = 31 × 411 × 2391

Now multiplying the highest exponent prime factors to calculate the LCM of 29381 and 29397.

LCM(29381,29397) = 111 × 26711 × 31 × 411 × 2391
LCM(29381,29397) = 863713257