Least Common Multiple of 6858 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 6858 and 6864 the smallest integer that is 7845552 that is divisible by both numbers.

Least Common Multiple (LCM) of 6858 and 6864 is 7845552.

LCM(6858,6864) = 7845552

LCM of 6858 and 6864

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

LCM of:
and

Least Common Multiple of 6858 and 6864

LCM of 6858 and 6864 is 7845552

Least common multiple can be found by multiplying the highest exponent prime factors of 6858 and 6864. First we will calculate the prime factors of 6858 and 6864.

Prime Factorization of 6858


2 6858
3 3429
3 1143
3 381
127 127
1

Prime factors of 6858 are 2, 3,127. Prime factorization of 6858 in exponential form is:

6858 = 21×33×1271

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 6858 and 6864.

LCM(6858,6864) = 24×33×111×131×1271
LCM(6858,6864) = 7845552

Factors of 6858

List of positive integer factors of 6858 that divides 6858 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 127, 254, 381, 762, 1143, 2286, 3429, 6858

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 6858 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 6858 and 6864, than apply into the LCM equation.

GCF(6858,6864) = 6
LCM(6858,6864) = ( 6858 × 6864) / 6
LCM(6858,6864) = 47073312 / 6
LCM(6858,6864) = 7845552

Properties of LCM 6858 and 6864

(i) The LCM of 6864 and 6858 is associative

LCM of 6858 and 6864 = LCM of 6864 and 6858

Related Least Common Multiples of 6858

Related Least Common Multiples of 6864

Frequently Asked Questions on LCM of 6858 and 6864

1. What is the LCM of 6858 and 6864?

Answer: LCM of 6858 and 6864 is 7845552.

2. What are the Factors of 6858?

Answer: Factors of 6858 are 1, 2, 3, 6, 9, 18, 27, 54, 127, 254, 381, 762, 1143, 2286, 3429, 6858. There are 16 integers that are factors of 6858. The greatest factor of 6858 is 6858.

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 6858 and 6864?

Answer:

Least Common Multiple of 6858 and 6864 = 7845552

Step 1: Find the prime factorization of 6858

6858 = 2 x 3 x 3 x 3 x 127

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 = 7845552 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 11 x 13 x 127

Step 4: Therefore, the least common multiple of 6858 and 6864 is 7845552.