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What is the Least Common Multiple of 57186 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 57186 and 57201 is 1090365462.

LCM(57186,57201) = 1090365462

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Least Common Multiple of 57186 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 57186 and 57201, than apply into the LCM equation.

GCF(57186,57201) = 3
LCM(57186,57201) = ( 57186 × 57201) / 3
LCM(57186,57201) = 3271096386 / 3
LCM(57186,57201) = 1090365462

Least Common Multiple (LCM) of 57186 and 57201 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57186 and 57201. First we will calculate the prime factors of 57186 and 57201.

Prime Factorization of 57186

Prime factors of 57186 are 2, 3, 353. Prime factorization of 57186 in exponential form is:

57186 = 21 × 34 × 3531

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 57186 and 57201.

LCM(57186,57201) = 21 × 34 × 3531 × 231 × 8291
LCM(57186,57201) = 1090365462