Least Common Multiple of 2883 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 2883 and 2889 the smallest integer that is 2776329 that is divisible by both numbers.

Least Common Multiple (LCM) of 2883 and 2889 is 2776329.

LCM(2883,2889) = 2776329

LCM of 2883 and 2889

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

LCM of:
and

Least Common Multiple of 2883 and 2889

LCM of 2883 and 2889 is 2776329

Least common multiple can be found by multiplying the highest exponent prime factors of 2883 and 2889. First we will calculate the prime factors of 2883 and 2889.

Prime Factorization of 2883


3 2883
31 961
31 31
1

Prime factors of 2883 are 3,31. Prime factorization of 2883 in exponential form is:

2883 = 31×312

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 2883 and 2889.

LCM(2883,2889) = 33×312×1071
LCM(2883,2889) = 2776329

Factors of 2883

List of positive integer factors of 2883 that divides 2883 without a remainder.

1, 3, 31, 93, 961, 2883

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 2883 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 2883 and 2889, than apply into the LCM equation.

GCF(2883,2889) = 3
LCM(2883,2889) = ( 2883 × 2889) / 3
LCM(2883,2889) = 8328987 / 3
LCM(2883,2889) = 2776329

Properties of LCM 2883 and 2889

(i) The LCM of 2889 and 2883 is associative

LCM of 2883 and 2889 = LCM of 2889 and 2883

Related Least Common Multiples of 2883

Related Least Common Multiples of 2889

Frequently Asked Questions on LCM of 2883 and 2889

1. What is the LCM of 2883 and 2889?

Answer: LCM of 2883 and 2889 is 2776329.

2. What are the Factors of 2883?

Answer: Factors of 2883 are 1, 3, 31, 93, 961, 2883. There are 6 integers that are factors of 2883. The greatest factor of 2883 is 2883.

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 2883 and 2889?

Answer:

Least Common Multiple of 2883 and 2889 = 2776329

Step 1: Find the prime factorization of 2883

2883 = 3 x 31 x 31

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 = 2776329 = 3 x 3 x 3 x 31 x 31 x 107

Step 4: Therefore, the least common multiple of 2883 and 2889 is 2776329.