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What is the Least Common Multiple of 57195 and 57214?

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 57195 and 57214 is 3272354730.

LCM(57195,57214) = 3272354730

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Least Common Multiple of 57195 and 57214 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57195 and 57214, than apply into the LCM equation.

GCF(57195,57214) = 1
LCM(57195,57214) = ( 57195 × 57214) / 1
LCM(57195,57214) = 3272354730 / 1
LCM(57195,57214) = 3272354730

Least Common Multiple (LCM) of 57195 and 57214 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57195 and 57214. First we will calculate the prime factors of 57195 and 57214.

Prime Factorization of 57195

Prime factors of 57195 are 3, 5, 31, 41. Prime factorization of 57195 in exponential form is:

57195 = 32 × 51 × 311 × 411

Prime Factorization of 57214

Prime factors of 57214 are 2, 28607. Prime factorization of 57214 in exponential form is:

57214 = 21 × 286071

Now multiplying the highest exponent prime factors to calculate the LCM of 57195 and 57214.

LCM(57195,57214) = 32 × 51 × 311 × 411 × 21 × 286071
LCM(57195,57214) = 3272354730