Least Common Multiple of 2883 and 2888

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 2888 the smallest integer that is 8326104 that is divisible by both numbers.

Least Common Multiple (LCM) of 2883 and 2888 is 8326104.

LCM(2883,2888) = 8326104

LCM of 2883 and 2888

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

LCM of:
and

Least Common Multiple of 2883 and 2888

LCM of 2883 and 2888 is 8326104

Least common multiple can be found by multiplying the highest exponent prime factors of 2883 and 2888. First we will calculate the prime factors of 2883 and 2888.

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 2888


2 2888
2 1444
2 722
19 361
19 19
1

Prime factors of 2888 are 2,19. Prime factorization of 2888 in exponential form is:

2888 = 23×192

Now multiplying the highest exponent prime factors to calculate the LCM of 2883 and 2888.

LCM(2883,2888) = 23×31×192×312
LCM(2883,2888) = 8326104

Factors of 2883

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

1, 3, 31, 93, 961, 2883

Factors of 2888

List of positive integer factors of 2888 that divides 2888 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 361, 722, 1444, 2888

Least Common Multiple of 2883 and 2888 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 2888, than apply into the LCM equation.

GCF(2883,2888) = 1
LCM(2883,2888) = ( 2883 × 2888) / 1
LCM(2883,2888) = 8326104 / 1
LCM(2883,2888) = 8326104

Properties of LCM 2883 and 2888

(i) The LCM of 2888 and 2883 is associative

LCM of 2883 and 2888 = LCM of 2888 and 2883

Related Least Common Multiples of 2883

Related Least Common Multiples of 2888

Frequently Asked Questions on LCM of 2883 and 2888

1. What is the LCM of 2883 and 2888?

Answer: LCM of 2883 and 2888 is 8326104.

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 2888?

Answer: Factors of 2888 are 1, 2, 4, 8, 19, 38, 76, 152, 361, 722, 1444, 2888. There are 12 integers that are factors of 2888. The greatest factor of 2888 is 2888.

4. How to Find the LCM of 2883 and 2888?

Answer:

Least Common Multiple of 2883 and 2888 = 8326104

Step 1: Find the prime factorization of 2883

2883 = 3 x 31 x 31

Step 2: Find the prime factorization of 2888

2888 = 2 x 2 x 2 x 19 x 19

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

LCM = 8326104 = 2 x 2 x 2 x 3 x 19 x 19 x 31 x 31

Step 4: Therefore, the least common multiple of 2883 and 2888 is 8326104.