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What is the Least Common Multiple of 5865 and 5875?

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 5865 and 5875 is 6891375.

LCM(5865,5875) = 6891375

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Least Common Multiple of 5865 and 5875 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5865 and 5875, than apply into the LCM equation.

GCF(5865,5875) = 5
LCM(5865,5875) = ( 5865 × 5875) / 5
LCM(5865,5875) = 34456875 / 5
LCM(5865,5875) = 6891375

Least Common Multiple (LCM) of 5865 and 5875 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5865 and 5875. First we will calculate the prime factors of 5865 and 5875.

Prime Factorization of 5865

Prime factors of 5865 are 3, 5, 17, 23. Prime factorization of 5865 in exponential form is:

5865 = 31 × 51 × 171 × 231

Prime Factorization of 5875

Prime factors of 5875 are 5, 47. Prime factorization of 5875 in exponential form is:

5875 = 53 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 5865 and 5875.

LCM(5865,5875) = 31 × 53 × 171 × 231 × 471
LCM(5865,5875) = 6891375