Least Common Multiple of 2882 and 2889

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2882 and 2889 the smallest integer that is 8326098 that is divisible by both numbers.

Least Common Multiple (LCM) of 2882 and 2889 is 8326098.

LCM(2882,2889) = 8326098

LCM of 2882 and 2889

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

LCM of:
and

Least Common Multiple of 2882 and 2889

LCM of 2882 and 2889 is 8326098

Least common multiple can be found by multiplying the highest exponent prime factors of 2882 and 2889. First we will calculate the prime factors of 2882 and 2889.

Prime Factorization of 2882


2 2882
11 1441
131 131
1

Prime factors of 2882 are 2, 11,131. Prime factorization of 2882 in exponential form is:

2882 = 21×111×1311

Prime Factorization of 2889


3 2889
3 963
3 321
107 107
1

Prime factors of 2889 are 3,107. Prime factorization of 2889 in exponential form is:

2889 = 33×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 2882 and 2889.

LCM(2882,2889) = 21×33×111×1071×1311
LCM(2882,2889) = 8326098

Factors of 2882

List of positive integer factors of 2882 that divides 2882 without a remainder.

1, 2, 11, 22, 131, 262, 1441, 2882

Factors of 2889

List of positive integer factors of 2889 that divides 2889 without a remainder.

1, 3, 9, 27, 107, 321, 963, 2889

Least Common Multiple of 2882 and 2889 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2882 and 2889, than apply into the LCM equation.

GCF(2882,2889) = 1
LCM(2882,2889) = ( 2882 × 2889) / 1
LCM(2882,2889) = 8326098 / 1
LCM(2882,2889) = 8326098

Properties of LCM 2882 and 2889

(i) The LCM of 2889 and 2882 is associative

LCM of 2882 and 2889 = LCM of 2889 and 2882

Related Least Common Multiples of 2882

Related Least Common Multiples of 2889

Frequently Asked Questions on LCM of 2882 and 2889

1. What is the LCM of 2882 and 2889?

Answer: LCM of 2882 and 2889 is 8326098.

2. What are the Factors of 2882?

Answer: Factors of 2882 are 1, 2, 11, 22, 131, 262, 1441, 2882. There are 8 integers that are factors of 2882. The greatest factor of 2882 is 2882.

3. What are the Factors of 2889?

Answer: Factors of 2889 are 1, 3, 9, 27, 107, 321, 963, 2889. There are 8 integers that are factors of 2889. The greatest factor of 2889 is 2889.

4. How to Find the LCM of 2882 and 2889?

Answer:

Least Common Multiple of 2882 and 2889 = 8326098

Step 1: Find the prime factorization of 2882

2882 = 2 x 11 x 131

Step 2: Find the prime factorization of 2889

2889 = 3 x 3 x 3 x 107

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

LCM = 8326098 = 2 x 3 x 3 x 3 x 11 x 107 x 131

Step 4: Therefore, the least common multiple of 2882 and 2889 is 8326098.