Least Common Multiple of 864 and 868

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 864 and 868 the smallest integer that is 187488 that is divisible by both numbers.

Least Common Multiple (LCM) of 864 and 868 is 187488.

LCM(864,868) = 187488

LCM of 864 and 868

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

LCM of:
and

Least Common Multiple of 864 and 868

LCM of 864 and 868 is 187488

Least common multiple can be found by multiplying the highest exponent prime factors of 864 and 868. First we will calculate the prime factors of 864 and 868.

Prime Factorization of 864


2 864
2 432
2 216
2 108
2 54
3 27
3 9
3 3
1

Prime factors of 864 are 2,3. Prime factorization of 864 in exponential form is:

864 = 25×33

Prime Factorization of 868


2 868
2 434
7 217
31 31
1

Prime factors of 868 are 2, 7,31. Prime factorization of 868 in exponential form is:

868 = 22×71×311

Now multiplying the highest exponent prime factors to calculate the LCM of 864 and 868.

LCM(864,868) = 25×33×71×311
LCM(864,868) = 187488

Factors of 864

List of positive integer factors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Least Common Multiple of 864 and 868 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 864 and 868, than apply into the LCM equation.

GCF(864,868) = 4
LCM(864,868) = ( 864 × 868) / 4
LCM(864,868) = 749952 / 4
LCM(864,868) = 187488

Properties of LCM 864 and 868

(i) The LCM of 868 and 864 is associative

LCM of 864 and 868 = LCM of 868 and 864

Related Least Common Multiples of 864

Related Least Common Multiples of 868

Frequently Asked Questions on LCM of 864 and 868

1. What is the LCM of 864 and 868?

Answer: LCM of 864 and 868 is 187488.

2. What are the Factors of 864?

Answer: Factors of 864 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864. There are 24 integers that are factors of 864. The greatest factor of 864 is 864.

3. What are the Factors of 868?

Answer: Factors of 868 are 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868. There are 12 integers that are factors of 868. The greatest factor of 868 is 868.

4. How to Find the LCM of 864 and 868?

Answer:

Least Common Multiple of 864 and 868 = 187488

Step 1: Find the prime factorization of 864

864 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Step 2: Find the prime factorization of 868

868 = 2 x 2 x 7 x 31

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

LCM = 187488 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 7 x 31

Step 4: Therefore, the least common multiple of 864 and 868 is 187488.