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What is the Least Common Multiple of 57330 and 57337?

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 57330 and 57337 is 469590030.

LCM(57330,57337) = 469590030

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Least Common Multiple of 57330 and 57337 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57330 and 57337, than apply into the LCM equation.

GCF(57330,57337) = 7
LCM(57330,57337) = ( 57330 × 57337) / 7
LCM(57330,57337) = 3287130210 / 7
LCM(57330,57337) = 469590030

Least Common Multiple (LCM) of 57330 and 57337 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57330 and 57337. First we will calculate the prime factors of 57330 and 57337.

Prime Factorization of 57330

Prime factors of 57330 are 2, 3, 5, 7, 13. Prime factorization of 57330 in exponential form is:

57330 = 21 × 32 × 51 × 72 × 131

Prime Factorization of 57337

Prime factors of 57337 are 7, 8191. Prime factorization of 57337 in exponential form is:

57337 = 71 × 81911

Now multiplying the highest exponent prime factors to calculate the LCM of 57330 and 57337.

LCM(57330,57337) = 21 × 32 × 51 × 72 × 131 × 81911
LCM(57330,57337) = 469590030