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What is the Least Common Multiple of 17848 and 17865?

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 17848 and 17865 is 318854520.

LCM(17848,17865) = 318854520

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Least Common Multiple of 17848 and 17865 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17848 and 17865, than apply into the LCM equation.

GCF(17848,17865) = 1
LCM(17848,17865) = ( 17848 × 17865) / 1
LCM(17848,17865) = 318854520 / 1
LCM(17848,17865) = 318854520

Least Common Multiple (LCM) of 17848 and 17865 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17848 and 17865. First we will calculate the prime factors of 17848 and 17865.

Prime Factorization of 17848

Prime factors of 17848 are 2, 23, 97. Prime factorization of 17848 in exponential form is:

17848 = 23 × 231 × 971

Prime Factorization of 17865

Prime factors of 17865 are 3, 5, 397. Prime factorization of 17865 in exponential form is:

17865 = 32 × 51 × 3971

Now multiplying the highest exponent prime factors to calculate the LCM of 17848 and 17865.

LCM(17848,17865) = 23 × 231 × 971 × 32 × 51 × 3971
LCM(17848,17865) = 318854520