Least Common Multiple of 6860 and 6864

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6860 and 6864 the smallest integer that is 11771760 that is divisible by both numbers.

Least Common Multiple (LCM) of 6860 and 6864 is 11771760.

LCM(6860,6864) = 11771760

LCM of 6860 and 6864

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

LCM of:
and

Least Common Multiple of 6860 and 6864

LCM of 6860 and 6864 is 11771760

Least common multiple can be found by multiplying the highest exponent prime factors of 6860 and 6864. First we will calculate the prime factors of 6860 and 6864.

Prime Factorization of 6860


2 6860
2 3430
5 1715
7 343
7 49
7 7
1

Prime factors of 6860 are 2, 5,7. Prime factorization of 6860 in exponential form is:

6860 = 22×51×73

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6860 and 6864.

LCM(6860,6864) = 24×31×51×73×111×131
LCM(6860,6864) = 11771760

Factors of 6860

List of positive integer factors of 6860 that divides 6860 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 343, 490, 686, 980, 1372, 1715, 3430, 6860

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

Least Common Multiple of 6860 and 6864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6860 and 6864, than apply into the LCM equation.

GCF(6860,6864) = 4
LCM(6860,6864) = ( 6860 × 6864) / 4
LCM(6860,6864) = 47087040 / 4
LCM(6860,6864) = 11771760

Properties of LCM 6860 and 6864

(i) The LCM of 6864 and 6860 is associative

LCM of 6860 and 6864 = LCM of 6864 and 6860

Related Least Common Multiples of 6860

Related Least Common Multiples of 6864

Frequently Asked Questions on LCM of 6860 and 6864

1. What is the LCM of 6860 and 6864?

Answer: LCM of 6860 and 6864 is 11771760.

2. What are the Factors of 6860?

Answer: Factors of 6860 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 343, 490, 686, 980, 1372, 1715, 3430, 6860. There are 24 integers that are factors of 6860. The greatest factor of 6860 is 6860.

3. 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.

4. How to Find the LCM of 6860 and 6864?

Answer:

Least Common Multiple of 6860 and 6864 = 11771760

Step 1: Find the prime factorization of 6860

6860 = 2 x 2 x 5 x 7 x 7 x 7

Step 2: Find the prime factorization of 6864

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

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

LCM = 11771760 = 2 x 2 x 2 x 2 x 3 x 5 x 7 x 7 x 7 x 11 x 13

Step 4: Therefore, the least common multiple of 6860 and 6864 is 11771760.