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What is the Least Common Multiple of 12865 and 12883?

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 12865 and 12883 is 165739795.

LCM(12865,12883) = 165739795

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Least Common Multiple of 12865 and 12883 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12865 and 12883, than apply into the LCM equation.

GCF(12865,12883) = 1
LCM(12865,12883) = ( 12865 × 12883) / 1
LCM(12865,12883) = 165739795 / 1
LCM(12865,12883) = 165739795

Least Common Multiple (LCM) of 12865 and 12883 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12865 and 12883. First we will calculate the prime factors of 12865 and 12883.

Prime Factorization of 12865

Prime factors of 12865 are 5, 31, 83. Prime factorization of 12865 in exponential form is:

12865 = 51 × 311 × 831

Prime Factorization of 12883

Prime factors of 12883 are 13, 991. Prime factorization of 12883 in exponential form is:

12883 = 131 × 9911

Now multiplying the highest exponent prime factors to calculate the LCM of 12865 and 12883.

LCM(12865,12883) = 51 × 311 × 831 × 131 × 9911
LCM(12865,12883) = 165739795