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What is the Least Common Multiple of 2861 and 2867?

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 2861 and 2867 is 8202487.

LCM(2861,2867) = 8202487

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Least Common Multiple of 2861 and 2867 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2861 and 2867, than apply into the LCM equation.

GCF(2861,2867) = 1
LCM(2861,2867) = ( 2861 × 2867) / 1
LCM(2861,2867) = 8202487 / 1
LCM(2861,2867) = 8202487

Least Common Multiple (LCM) of 2861 and 2867 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2861 and 2867. First we will calculate the prime factors of 2861 and 2867.

Prime Factorization of 2861

Prime factors of 2861 are 2861. Prime factorization of 2861 in exponential form is:

2861 = 28611

Prime Factorization of 2867

Prime factors of 2867 are 47, 61. Prime factorization of 2867 in exponential form is:

2867 = 471 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 2861 and 2867.

LCM(2861,2867) = 28611 × 471 × 611
LCM(2861,2867) = 8202487