Least Common Multiple of 6859 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 6859 and 6864 the smallest integer that is 47080176 that is divisible by both numbers.

Least Common Multiple (LCM) of 6859 and 6864 is 47080176.

LCM(6859,6864) = 47080176

LCM of 6859 and 6864

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

LCM of:
and

Least Common Multiple of 6859 and 6864

LCM of 6859 and 6864 is 47080176

Least common multiple can be found by multiplying the highest exponent prime factors of 6859 and 6864. First we will calculate the prime factors of 6859 and 6864.

Prime Factorization of 6859


19 6859
19 361
19 19
1

Prime factors of 6859 are 19. Prime factorization of 6859 in exponential form is:

6859 = 193

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 6859 and 6864.

LCM(6859,6864) = 24×31×111×131×193
LCM(6859,6864) = 47080176

Factors of 6859

List of positive integer factors of 6859 that divides 6859 without a remainder.

1, 19, 361, 6859

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 6859 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 6859 and 6864, than apply into the LCM equation.

GCF(6859,6864) = 1
LCM(6859,6864) = ( 6859 × 6864) / 1
LCM(6859,6864) = 47080176 / 1
LCM(6859,6864) = 47080176

Properties of LCM 6859 and 6864

(i) The LCM of 6864 and 6859 is associative

LCM of 6859 and 6864 = LCM of 6864 and 6859

Related Least Common Multiples of 6859

Related Least Common Multiples of 6864

Frequently Asked Questions on LCM of 6859 and 6864

1. What is the LCM of 6859 and 6864?

Answer: LCM of 6859 and 6864 is 47080176.

2. What are the Factors of 6859?

Answer: Factors of 6859 are 1, 19, 361, 6859. There are 4 integers that are factors of 6859. The greatest factor of 6859 is 6859.

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 6859 and 6864?

Answer:

Least Common Multiple of 6859 and 6864 = 47080176

Step 1: Find the prime factorization of 6859

6859 = 19 x 19 x 19

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 = 47080176 = 2 x 2 x 2 x 2 x 3 x 11 x 13 x 19 x 19 x 19

Step 4: Therefore, the least common multiple of 6859 and 6864 is 47080176.