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What is the Least Common Multiple of 57291 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 57291 and 57295 is 3282487845.

LCM(57291,57295) = 3282487845

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Least Common Multiple of 57291 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 57291 and 57295, than apply into the LCM equation.

GCF(57291,57295) = 1
LCM(57291,57295) = ( 57291 × 57295) / 1
LCM(57291,57295) = 3282487845 / 1
LCM(57291,57295) = 3282487845

Least Common Multiple (LCM) of 57291 and 57295 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57291 and 57295. First we will calculate the prime factors of 57291 and 57295.

Prime Factorization of 57291

Prime factors of 57291 are 3, 13, 113. Prime factorization of 57291 in exponential form is:

57291 = 31 × 132 × 1131

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 57291 and 57295.

LCM(57291,57295) = 31 × 132 × 1131 × 51 × 71 × 16371
LCM(57291,57295) = 3282487845