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What is the Least Common Multiple of 29327 and 29332?

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 29332 is 860219564.

LCM(29327,29332) = 860219564

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Least Common Multiple of 29327 and 29332 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 29332, than apply into the LCM equation.

GCF(29327,29332) = 1
LCM(29327,29332) = ( 29327 × 29332) / 1
LCM(29327,29332) = 860219564 / 1
LCM(29327,29332) = 860219564

Least Common Multiple (LCM) of 29327 and 29332 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29327 and 29332. First we will calculate the prime factors of 29327 and 29332.

Prime Factorization of 29327

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

29327 = 293271

Prime Factorization of 29332

Prime factors of 29332 are 2, 7333. Prime factorization of 29332 in exponential form is:

29332 = 22 × 73331

Now multiplying the highest exponent prime factors to calculate the LCM of 29327 and 29332.

LCM(29327,29332) = 293271 × 22 × 73331
LCM(29327,29332) = 860219564