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What is the Least Common Multiple of 29327 and 29337?

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 29327 and 29337 is 860366199.

LCM(29327,29337) = 860366199

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Least Common Multiple of 29327 and 29337 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29327 and 29337, than apply into the LCM equation.

GCF(29327,29337) = 1
LCM(29327,29337) = ( 29327 × 29337) / 1
LCM(29327,29337) = 860366199 / 1
LCM(29327,29337) = 860366199

Least Common Multiple (LCM) of 29327 and 29337 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29327 and 29337. First we will calculate the prime factors of 29327 and 29337.

Prime Factorization of 29327

Prime factors of 29327 are 29327. Prime factorization of 29327 in exponential form is:

29327 = 293271

Prime Factorization of 29337

Prime factors of 29337 are 3, 7, 11, 127. Prime factorization of 29337 in exponential form is:

29337 = 31 × 71 × 111 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 29327 and 29337.

LCM(29327,29337) = 293271 × 31 × 71 × 111 × 1271
LCM(29327,29337) = 860366199