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What is the Least Common Multiple of 2848 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 2848 and 2867 is 8165216.

LCM(2848,2867) = 8165216

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Least Common Multiple of 2848 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 2848 and 2867, than apply into the LCM equation.

GCF(2848,2867) = 1
LCM(2848,2867) = ( 2848 × 2867) / 1
LCM(2848,2867) = 8165216 / 1
LCM(2848,2867) = 8165216

Least Common Multiple (LCM) of 2848 and 2867 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2848 and 2867. First we will calculate the prime factors of 2848 and 2867.

Prime Factorization of 2848

Prime factors of 2848 are 2, 89. Prime factorization of 2848 in exponential form is:

2848 = 25 × 891

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 2848 and 2867.

LCM(2848,2867) = 25 × 891 × 471 × 611
LCM(2848,2867) = 8165216