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What is the Least Common Multiple of 57183 and 57201?

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 57183 and 57201 is 1090308261.

LCM(57183,57201) = 1090308261

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Least Common Multiple of 57183 and 57201 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57183 and 57201, than apply into the LCM equation.

GCF(57183,57201) = 3
LCM(57183,57201) = ( 57183 × 57201) / 3
LCM(57183,57201) = 3270924783 / 3
LCM(57183,57201) = 1090308261

Least Common Multiple (LCM) of 57183 and 57201 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57183 and 57201. First we will calculate the prime factors of 57183 and 57201.

Prime Factorization of 57183

Prime factors of 57183 are 3, 7, 389. Prime factorization of 57183 in exponential form is:

57183 = 31 × 72 × 3891

Prime Factorization of 57201

Prime factors of 57201 are 3, 23, 829. Prime factorization of 57201 in exponential form is:

57201 = 31 × 231 × 8291

Now multiplying the highest exponent prime factors to calculate the LCM of 57183 and 57201.

LCM(57183,57201) = 31 × 72 × 3891 × 231 × 8291
LCM(57183,57201) = 1090308261