Least Common Multiple of 867 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 867 and 868 the smallest integer that is 752556 that is divisible by both numbers.

Least Common Multiple (LCM) of 867 and 868 is 752556.

LCM(867,868) = 752556

LCM of 867 and 868

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

LCM of:
and

Least Common Multiple of 867 and 868

LCM of 867 and 868 is 752556

Least common multiple can be found by multiplying the highest exponent prime factors of 867 and 868. First we will calculate the prime factors of 867 and 868.

Prime Factorization of 867


3 867
17 289
17 17
1

Prime factors of 867 are 3,17. Prime factorization of 867 in exponential form is:

867 = 31×172

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 867 and 868.

LCM(867,868) = 22×31×71×172×311
LCM(867,868) = 752556

Factors of 867

List of positive integer factors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

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 867 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 867 and 868, than apply into the LCM equation.

GCF(867,868) = 1
LCM(867,868) = ( 867 × 868) / 1
LCM(867,868) = 752556 / 1
LCM(867,868) = 752556

Properties of LCM 867 and 868

(i) The LCM of 868 and 867 is associative

LCM of 867 and 868 = LCM of 868 and 867

Related Least Common Multiples of 867

Related Least Common Multiples of 868

Frequently Asked Questions on LCM of 867 and 868

1. What is the LCM of 867 and 868?

Answer: LCM of 867 and 868 is 752556.

2. What are the Factors of 867?

Answer: Factors of 867 are 1, 3, 17, 51, 289, 867. There are 6 integers that are factors of 867. The greatest factor of 867 is 867.

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 867 and 868?

Answer:

Least Common Multiple of 867 and 868 = 752556

Step 1: Find the prime factorization of 867

867 = 3 x 17 x 17

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 = 752556 = 2 x 2 x 3 x 7 x 17 x 17 x 31

Step 4: Therefore, the least common multiple of 867 and 868 is 752556.