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What is the Least Common Multiple of 57847 and 57855?

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 57847 and 57855 is 3346738185.

LCM(57847,57855) = 3346738185

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Least Common Multiple of 57847 and 57855 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57847 and 57855, than apply into the LCM equation.

GCF(57847,57855) = 1
LCM(57847,57855) = ( 57847 × 57855) / 1
LCM(57847,57855) = 3346738185 / 1
LCM(57847,57855) = 3346738185

Least Common Multiple (LCM) of 57847 and 57855 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57847 and 57855. First we will calculate the prime factors of 57847 and 57855.

Prime Factorization of 57847

Prime factors of 57847 are 57847. Prime factorization of 57847 in exponential form is:

57847 = 578471

Prime Factorization of 57855

Prime factors of 57855 are 3, 5, 7, 19, 29. Prime factorization of 57855 in exponential form is:

57855 = 31 × 51 × 71 × 191 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 57847 and 57855.

LCM(57847,57855) = 578471 × 31 × 51 × 71 × 191 × 291
LCM(57847,57855) = 3346738185