Least Common Multiple of 6864 and 6871

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6864 and 6871 the smallest integer that is 47162544 that is divisible by both numbers.

Least Common Multiple (LCM) of 6864 and 6871 is 47162544.

LCM(6864,6871) = 47162544

LCM of 6864 and 6871

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

LCM of:
and

Least Common Multiple of 6864 and 6871

LCM of 6864 and 6871 is 47162544

Least common multiple can be found by multiplying the highest exponent prime factors of 6864 and 6871. First we will calculate the prime factors of 6864 and 6871.

Prime Factorization of 6864


2 6864
2 3432
2 1716
2 858
3 429
11 143
13 13
1

Prime factors of 6864 are 2, 3, 11,13. Prime factorization of 6864 in exponential form is:

6864 = 24×31×111×131

Prime Factorization of 6871


6871 6871
1

Prime factors of 6871 are 6871. Prime factorization of 6871 in exponential form is:

6871 = 68711

Now multiplying the highest exponent prime factors to calculate the LCM of 6864 and 6871.

LCM(6864,6871) = 24×31×111×131×68711
LCM(6864,6871) = 47162544

Factors of 6864

List of positive integer factors of 6864 that divides 6864 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 13, 16, 22, 24, 26, 33, 39, 44, 48, 52, 66, 78, 88, 104, 132, 143, 156, 176, 208, 264, 286, 312, 429, 528, 572, 624, 858, 1144, 1716, 2288, 3432, 6864

Factors of 6871

List of positive integer factors of 6871 that divides 6871 without a remainder.

1, 6871

Least Common Multiple of 6864 and 6871 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6864 and 6871, than apply into the LCM equation.

GCF(6864,6871) = 1
LCM(6864,6871) = ( 6864 × 6871) / 1
LCM(6864,6871) = 47162544 / 1
LCM(6864,6871) = 47162544

Properties of LCM 6864 and 6871

(i) The LCM of 6871 and 6864 is associative

LCM of 6864 and 6871 = LCM of 6871 and 6864

Related Least Common Multiples of 6864

Related Least Common Multiples of 6871

Frequently Asked Questions on LCM of 6864 and 6871

1. What is the LCM of 6864 and 6871?

Answer: LCM of 6864 and 6871 is 47162544.

2. What are the Factors of 6864?

Answer: Factors of 6864 are 1, 2, 3, 4, 6, 8, 11, 12, 13, 16, 22, 24, 26, 33, 39, 44, 48, 52, 66, 78, 88, 104, 132, 143, 156, 176, 208, 264, 286, 312, 429, 528, 572, 624, 858, 1144, 1716, 2288, 3432, 6864. There are 40 integers that are factors of 6864. The greatest factor of 6864 is 6864.

3. What are the Factors of 6871?

Answer: Factors of 6871 are 1, 6871. There are 2 integers that are factors of 6871. The greatest factor of 6871 is 6871.

4. How to Find the LCM of 6864 and 6871?

Answer:

Least Common Multiple of 6864 and 6871 = 47162544

Step 1: Find the prime factorization of 6864

6864 = 2 x 2 x 2 x 2 x 3 x 11 x 13

Step 2: Find the prime factorization of 6871

6871 = 6871

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

LCM = 47162544 = 2 x 2 x 2 x 2 x 3 x 11 x 13 x 6871

Step 4: Therefore, the least common multiple of 6864 and 6871 is 47162544.