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What is the Least Common Multiple of 2854 and 2858?

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 2854 and 2858 is 4078366.

LCM(2854,2858) = 4078366

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Least Common Multiple of 2854 and 2858 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2854 and 2858, than apply into the LCM equation.

GCF(2854,2858) = 2
LCM(2854,2858) = ( 2854 × 2858) / 2
LCM(2854,2858) = 8156732 / 2
LCM(2854,2858) = 4078366

Least Common Multiple (LCM) of 2854 and 2858 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2854 and 2858. First we will calculate the prime factors of 2854 and 2858.

Prime Factorization of 2854

Prime factors of 2854 are 2, 1427. Prime factorization of 2854 in exponential form is:

2854 = 21 × 14271

Prime Factorization of 2858

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

2858 = 21 × 14291

Now multiplying the highest exponent prime factors to calculate the LCM of 2854 and 2858.

LCM(2854,2858) = 21 × 14271 × 14291
LCM(2854,2858) = 4078366