Least Common Multiple of 2864 and 2871

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2864 and 2871 the smallest integer that is 8222544 that is divisible by both numbers.

Least Common Multiple (LCM) of 2864 and 2871 is 8222544.

LCM(2864,2871) = 8222544

LCM of 2864 and 2871

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

LCM of:
and

Least Common Multiple of 2864 and 2871

LCM of 2864 and 2871 is 8222544

Least common multiple can be found by multiplying the highest exponent prime factors of 2864 and 2871. First we will calculate the prime factors of 2864 and 2871.

Prime Factorization of 2864


2 2864
2 1432
2 716
2 358
179 179
1

Prime factors of 2864 are 2,179. Prime factorization of 2864 in exponential form is:

2864 = 24×1791

Prime Factorization of 2871


3 2871
3 957
11 319
29 29
1

Prime factors of 2871 are 3, 11,29. Prime factorization of 2871 in exponential form is:

2871 = 32×111×291

Now multiplying the highest exponent prime factors to calculate the LCM of 2864 and 2871.

LCM(2864,2871) = 24×32×111×291×1791
LCM(2864,2871) = 8222544

Factors of 2864

List of positive integer factors of 2864 that divides 2864 without a remainder.

1, 2, 4, 8, 16, 179, 358, 716, 1432, 2864

Factors of 2871

List of positive integer factors of 2871 that divides 2871 without a remainder.

1, 3, 9, 11, 29, 33, 87, 99, 261, 319, 957, 2871

Least Common Multiple of 2864 and 2871 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2864 and 2871, than apply into the LCM equation.

GCF(2864,2871) = 1
LCM(2864,2871) = ( 2864 × 2871) / 1
LCM(2864,2871) = 8222544 / 1
LCM(2864,2871) = 8222544

Properties of LCM 2864 and 2871

(i) The LCM of 2871 and 2864 is associative

LCM of 2864 and 2871 = LCM of 2871 and 2864

Related Least Common Multiples of 2864

Related Least Common Multiples of 2871

Frequently Asked Questions on LCM of 2864 and 2871

1. What is the LCM of 2864 and 2871?

Answer: LCM of 2864 and 2871 is 8222544.

2. What are the Factors of 2864?

Answer: Factors of 2864 are 1, 2, 4, 8, 16, 179, 358, 716, 1432, 2864. There are 10 integers that are factors of 2864. The greatest factor of 2864 is 2864.

3. What are the Factors of 2871?

Answer: Factors of 2871 are 1, 3, 9, 11, 29, 33, 87, 99, 261, 319, 957, 2871. There are 12 integers that are factors of 2871. The greatest factor of 2871 is 2871.

4. How to Find the LCM of 2864 and 2871?

Answer:

Least Common Multiple of 2864 and 2871 = 8222544

Step 1: Find the prime factorization of 2864

2864 = 2 x 2 x 2 x 2 x 179

Step 2: Find the prime factorization of 2871

2871 = 3 x 3 x 11 x 29

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

LCM = 8222544 = 2 x 2 x 2 x 2 x 3 x 3 x 11 x 29 x 179

Step 4: Therefore, the least common multiple of 2864 and 2871 is 8222544.