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What is the Least Common Multiple of 57285 and 57295?

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 57285 and 57295 is 656428815.

LCM(57285,57295) = 656428815

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Least Common Multiple of 57285 and 57295 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57285 and 57295, than apply into the LCM equation.

GCF(57285,57295) = 5
LCM(57285,57295) = ( 57285 × 57295) / 5
LCM(57285,57295) = 3282144075 / 5
LCM(57285,57295) = 656428815

Least Common Multiple (LCM) of 57285 and 57295 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57285 and 57295. First we will calculate the prime factors of 57285 and 57295.

Prime Factorization of 57285

Prime factors of 57285 are 3, 5, 19, 67. Prime factorization of 57285 in exponential form is:

57285 = 32 × 51 × 191 × 671

Prime Factorization of 57295

Prime factors of 57295 are 5, 7, 1637. Prime factorization of 57295 in exponential form is:

57295 = 51 × 71 × 16371

Now multiplying the highest exponent prime factors to calculate the LCM of 57285 and 57295.

LCM(57285,57295) = 32 × 51 × 191 × 671 × 71 × 16371
LCM(57285,57295) = 656428815