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What is the Least Common Multiple of 29386 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 29386 and 29397 is 863860242.

LCM(29386,29397) = 863860242

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Least Common Multiple of 29386 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 29386 and 29397, than apply into the LCM equation.

GCF(29386,29397) = 1
LCM(29386,29397) = ( 29386 × 29397) / 1
LCM(29386,29397) = 863860242 / 1
LCM(29386,29397) = 863860242

Least Common Multiple (LCM) of 29386 and 29397 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29386 and 29397. First we will calculate the prime factors of 29386 and 29397.

Prime Factorization of 29386

Prime factors of 29386 are 2, 7, 2099. Prime factorization of 29386 in exponential form is:

29386 = 21 × 71 × 20991

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 29386 and 29397.

LCM(29386,29397) = 21 × 71 × 20991 × 31 × 411 × 2391
LCM(29386,29397) = 863860242