Least Common Multiple of 2839 and 2843

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2839 and 2843 the smallest integer that is 8071277 that is divisible by both numbers.

Least Common Multiple (LCM) of 2839 and 2843 is 8071277.

LCM(2839,2843) = 8071277

LCM of 2839 and 2843

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 2839 and 2843

LCM of 2839 and 2843 is 8071277

Least common multiple can be found by multiplying the highest exponent prime factors of 2839 and 2843. First we will calculate the prime factors of 2839 and 2843.

Prime Factorization of 2839


17 2839
167 167
1

Prime factors of 2839 are 17,167. Prime factorization of 2839 in exponential form is:

2839 = 171×1671

Prime Factorization of 2843


2843 2843
1

Prime factors of 2843 are 2843. Prime factorization of 2843 in exponential form is:

2843 = 28431

Now multiplying the highest exponent prime factors to calculate the LCM of 2839 and 2843.

LCM(2839,2843) = 171×1671×28431
LCM(2839,2843) = 8071277

Factors of 2839

List of positive integer factors of 2839 that divides 2839 without a remainder.

1, 17, 167, 2839

Factors of 2843

List of positive integer factors of 2843 that divides 2843 without a remainder.

1, 2843

Least Common Multiple of 2839 and 2843 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2839 and 2843, than apply into the LCM equation.

GCF(2839,2843) = 1
LCM(2839,2843) = ( 2839 × 2843) / 1
LCM(2839,2843) = 8071277 / 1
LCM(2839,2843) = 8071277

Properties of LCM 2839 and 2843

(i) The LCM of 2843 and 2839 is associative

LCM of 2839 and 2843 = LCM of 2843 and 2839

Related Least Common Multiples of 2839

Related Least Common Multiples of 2843

Frequently Asked Questions on LCM of 2839 and 2843

1. What is the LCM of 2839 and 2843?

Answer: LCM of 2839 and 2843 is 8071277.

2. What are the Factors of 2839?

Answer: Factors of 2839 are 1, 17, 167, 2839. There are 4 integers that are factors of 2839. The greatest factor of 2839 is 2839.

3. What are the Factors of 2843?

Answer: Factors of 2843 are 1, 2843. There are 2 integers that are factors of 2843. The greatest factor of 2843 is 2843.

4. How to Find the LCM of 2839 and 2843?

Answer:

Least Common Multiple of 2839 and 2843 = 8071277

Step 1: Find the prime factorization of 2839

2839 = 17 x 167

Step 2: Find the prime factorization of 2843

2843 = 2843

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 8071277 = 17 x 167 x 2843

Step 4: Therefore, the least common multiple of 2839 and 2843 is 8071277.