Least Common Multiple of 2882 and 2890

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 2890 the smallest integer that is 4164490 that is divisible by both numbers.

Least Common Multiple (LCM) of 2882 and 2890 is 4164490.

LCM(2882,2890) = 4164490

LCM of 2882 and 2890

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

LCM of:
and

Least Common Multiple of 2882 and 2890

LCM of 2882 and 2890 is 4164490

Least common multiple can be found by multiplying the highest exponent prime factors of 2882 and 2890. First we will calculate the prime factors of 2882 and 2890.

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 2890


2 2890
5 1445
17 289
17 17
1

Prime factors of 2890 are 2, 5,17. Prime factorization of 2890 in exponential form is:

2890 = 21×51×172

Now multiplying the highest exponent prime factors to calculate the LCM of 2882 and 2890.

LCM(2882,2890) = 21×51×111×172×1311
LCM(2882,2890) = 4164490

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 2890

List of positive integer factors of 2890 that divides 2890 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170, 289, 578, 1445, 2890

Least Common Multiple of 2882 and 2890 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 2890, than apply into the LCM equation.

GCF(2882,2890) = 2
LCM(2882,2890) = ( 2882 × 2890) / 2
LCM(2882,2890) = 8328980 / 2
LCM(2882,2890) = 4164490

Properties of LCM 2882 and 2890

(i) The LCM of 2890 and 2882 is associative

LCM of 2882 and 2890 = LCM of 2890 and 2882

Related Least Common Multiples of 2882

Related Least Common Multiples of 2890

Frequently Asked Questions on LCM of 2882 and 2890

1. What is the LCM of 2882 and 2890?

Answer: LCM of 2882 and 2890 is 4164490.

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 2890?

Answer: Factors of 2890 are 1, 2, 5, 10, 17, 34, 85, 170, 289, 578, 1445, 2890. There are 12 integers that are factors of 2890. The greatest factor of 2890 is 2890.

4. How to Find the LCM of 2882 and 2890?

Answer:

Least Common Multiple of 2882 and 2890 = 4164490

Step 1: Find the prime factorization of 2882

2882 = 2 x 11 x 131

Step 2: Find the prime factorization of 2890

2890 = 2 x 5 x 17 x 17

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

LCM = 4164490 = 2 x 5 x 11 x 17 x 17 x 131

Step 4: Therefore, the least common multiple of 2882 and 2890 is 4164490.