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What is the Least Common Multiple of 57329 and 57340?

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 57329 and 57340 is 3287244860.

LCM(57329,57340) = 3287244860

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Least Common Multiple of 57329 and 57340 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57329 and 57340, than apply into the LCM equation.

GCF(57329,57340) = 1
LCM(57329,57340) = ( 57329 × 57340) / 1
LCM(57329,57340) = 3287244860 / 1
LCM(57329,57340) = 3287244860

Least Common Multiple (LCM) of 57329 and 57340 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57329 and 57340. First we will calculate the prime factors of 57329 and 57340.

Prime Factorization of 57329

Prime factors of 57329 are 57329. Prime factorization of 57329 in exponential form is:

57329 = 573291

Prime Factorization of 57340

Prime factors of 57340 are 2, 5, 47, 61. Prime factorization of 57340 in exponential form is:

57340 = 22 × 51 × 471 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 57329 and 57340.

LCM(57329,57340) = 573291 × 22 × 51 × 471 × 611
LCM(57329,57340) = 3287244860