Least Common Multiple of 867 and 872

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 872 the smallest integer that is 756024 that is divisible by both numbers.

Least Common Multiple (LCM) of 867 and 872 is 756024.

LCM(867,872) = 756024

LCM of 867 and 872

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

LCM of:
and

Least Common Multiple of 867 and 872

LCM of 867 and 872 is 756024

Least common multiple can be found by multiplying the highest exponent prime factors of 867 and 872. First we will calculate the prime factors of 867 and 872.

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 872


2 872
2 436
2 218
109 109
1

Prime factors of 872 are 2,109. Prime factorization of 872 in exponential form is:

872 = 23×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 867 and 872.

LCM(867,872) = 23×31×172×1091
LCM(867,872) = 756024

Factors of 867

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

1, 3, 17, 51, 289, 867

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Least Common Multiple of 867 and 872 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 872, than apply into the LCM equation.

GCF(867,872) = 1
LCM(867,872) = ( 867 × 872) / 1
LCM(867,872) = 756024 / 1
LCM(867,872) = 756024

Properties of LCM 867 and 872

(i) The LCM of 872 and 867 is associative

LCM of 867 and 872 = LCM of 872 and 867

Related Least Common Multiples of 867

Related Least Common Multiples of 872

Frequently Asked Questions on LCM of 867 and 872

1. What is the LCM of 867 and 872?

Answer: LCM of 867 and 872 is 756024.

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 872?

Answer: Factors of 872 are 1, 2, 4, 8, 109, 218, 436, 872. There are 8 integers that are factors of 872. The greatest factor of 872 is 872.

4. How to Find the LCM of 867 and 872?

Answer:

Least Common Multiple of 867 and 872 = 756024

Step 1: Find the prime factorization of 867

867 = 3 x 17 x 17

Step 2: Find the prime factorization of 872

872 = 2 x 2 x 2 x 109

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

LCM = 756024 = 2 x 2 x 2 x 3 x 17 x 17 x 109

Step 4: Therefore, the least common multiple of 867 and 872 is 756024.