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What is the Least Common Multiple of 57300 and 57317?

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 57300 and 57317 is 3284264100.

LCM(57300,57317) = 3284264100

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Least Common Multiple of 57300 and 57317 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57300 and 57317, than apply into the LCM equation.

GCF(57300,57317) = 1
LCM(57300,57317) = ( 57300 × 57317) / 1
LCM(57300,57317) = 3284264100 / 1
LCM(57300,57317) = 3284264100

Least Common Multiple (LCM) of 57300 and 57317 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57300 and 57317. First we will calculate the prime factors of 57300 and 57317.

Prime Factorization of 57300

Prime factors of 57300 are 2, 3, 5, 191. Prime factorization of 57300 in exponential form is:

57300 = 22 × 31 × 52 × 1911

Prime Factorization of 57317

Prime factors of 57317 are 13, 4409. Prime factorization of 57317 in exponential form is:

57317 = 131 × 44091

Now multiplying the highest exponent prime factors to calculate the LCM of 57300 and 57317.

LCM(57300,57317) = 22 × 31 × 52 × 1911 × 131 × 44091
LCM(57300,57317) = 3284264100