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What is the Least Common Multiple of 2859 and 2865?

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 2859 and 2865 is 2730345.

LCM(2859,2865) = 2730345

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Least Common Multiple of 2859 and 2865 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2859 and 2865, than apply into the LCM equation.

GCF(2859,2865) = 3
LCM(2859,2865) = ( 2859 × 2865) / 3
LCM(2859,2865) = 8191035 / 3
LCM(2859,2865) = 2730345

Least Common Multiple (LCM) of 2859 and 2865 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2859 and 2865. First we will calculate the prime factors of 2859 and 2865.

Prime Factorization of 2859

Prime factors of 2859 are 3, 953. Prime factorization of 2859 in exponential form is:

2859 = 31 × 9531

Prime Factorization of 2865

Prime factors of 2865 are 3, 5, 191. Prime factorization of 2865 in exponential form is:

2865 = 31 × 51 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 2859 and 2865.

LCM(2859,2865) = 31 × 9531 × 51 × 1911
LCM(2859,2865) = 2730345