Least Common Multiple of 2884 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 2884 and 2888 the smallest integer that is 2082248 that is divisible by both numbers.

Least Common Multiple (LCM) of 2884 and 2888 is 2082248.

LCM(2884,2888) = 2082248

LCM of 2884 and 2888

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

LCM of:
and

Least Common Multiple of 2884 and 2888

LCM of 2884 and 2888 is 2082248

Least common multiple can be found by multiplying the highest exponent prime factors of 2884 and 2888. First we will calculate the prime factors of 2884 and 2888.

Prime Factorization of 2884


2 2884
2 1442
7 721
103 103
1

Prime factors of 2884 are 2, 7,103. Prime factorization of 2884 in exponential form is:

2884 = 22×71×1031

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 2884 and 2888.

LCM(2884,2888) = 23×71×192×1031
LCM(2884,2888) = 2082248

Factors of 2884

List of positive integer factors of 2884 that divides 2884 without a remainder.

1, 2, 4, 7, 14, 28, 103, 206, 412, 721, 1442, 2884

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 2884 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 2884 and 2888, than apply into the LCM equation.

GCF(2884,2888) = 4
LCM(2884,2888) = ( 2884 × 2888) / 4
LCM(2884,2888) = 8328992 / 4
LCM(2884,2888) = 2082248

Properties of LCM 2884 and 2888

(i) The LCM of 2888 and 2884 is associative

LCM of 2884 and 2888 = LCM of 2888 and 2884

Related Least Common Multiples of 2884

Related Least Common Multiples of 2888

Frequently Asked Questions on LCM of 2884 and 2888

1. What is the LCM of 2884 and 2888?

Answer: LCM of 2884 and 2888 is 2082248.

2. What are the Factors of 2884?

Answer: Factors of 2884 are 1, 2, 4, 7, 14, 28, 103, 206, 412, 721, 1442, 2884. There are 12 integers that are factors of 2884. The greatest factor of 2884 is 2884.

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 2884 and 2888?

Answer:

Least Common Multiple of 2884 and 2888 = 2082248

Step 1: Find the prime factorization of 2884

2884 = 2 x 2 x 7 x 103

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 = 2082248 = 2 x 2 x 2 x 7 x 19 x 19 x 103

Step 4: Therefore, the least common multiple of 2884 and 2888 is 2082248.