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What is the Least Common Multiple of 2858 and 2868?

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 2858 and 2868 is 4098372.

LCM(2858,2868) = 4098372

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Least Common Multiple of 2858 and 2868 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2858 and 2868, than apply into the LCM equation.

GCF(2858,2868) = 2
LCM(2858,2868) = ( 2858 × 2868) / 2
LCM(2858,2868) = 8196744 / 2
LCM(2858,2868) = 4098372

Least Common Multiple (LCM) of 2858 and 2868 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2858 and 2868. First we will calculate the prime factors of 2858 and 2868.

Prime Factorization of 2858

Prime factors of 2858 are 2, 1429. Prime factorization of 2858 in exponential form is:

2858 = 21 × 14291

Prime Factorization of 2868

Prime factors of 2868 are 2, 3, 239. Prime factorization of 2868 in exponential form is:

2868 = 22 × 31 × 2391

Now multiplying the highest exponent prime factors to calculate the LCM of 2858 and 2868.

LCM(2858,2868) = 22 × 14291 × 31 × 2391
LCM(2858,2868) = 4098372