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What is the Least Common Multiple of 57321 and 57331?

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 57321 and 57331 is 3286270251.

LCM(57321,57331) = 3286270251

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Least Common Multiple of 57321 and 57331 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57321 and 57331, than apply into the LCM equation.

GCF(57321,57331) = 1
LCM(57321,57331) = ( 57321 × 57331) / 1
LCM(57321,57331) = 3286270251 / 1
LCM(57321,57331) = 3286270251

Least Common Multiple (LCM) of 57321 and 57331 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57321 and 57331. First we will calculate the prime factors of 57321 and 57331.

Prime Factorization of 57321

Prime factors of 57321 are 3, 11, 193. Prime factorization of 57321 in exponential form is:

57321 = 33 × 111 × 1931

Prime Factorization of 57331

Prime factors of 57331 are 57331. Prime factorization of 57331 in exponential form is:

57331 = 573311

Now multiplying the highest exponent prime factors to calculate the LCM of 57321 and 57331.

LCM(57321,57331) = 33 × 111 × 1931 × 573311
LCM(57321,57331) = 3286270251