Least Common Multiple of 868 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 868 and 872 the smallest integer that is 189224 that is divisible by both numbers.

Least Common Multiple (LCM) of 868 and 872 is 189224.

LCM(868,872) = 189224

LCM of 868 and 872

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

LCM of:
and

Least Common Multiple of 868 and 872

LCM of 868 and 872 is 189224

Least common multiple can be found by multiplying the highest exponent prime factors of 868 and 872. First we will calculate the prime factors of 868 and 872.

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

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 868 and 872.

LCM(868,872) = 23×71×311×1091
LCM(868,872) = 189224

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

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 868 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 868 and 872, than apply into the LCM equation.

GCF(868,872) = 4
LCM(868,872) = ( 868 × 872) / 4
LCM(868,872) = 756896 / 4
LCM(868,872) = 189224

Properties of LCM 868 and 872

(i) The LCM of 872 and 868 is associative

LCM of 868 and 872 = LCM of 872 and 868

Related Least Common Multiples of 868

Related Least Common Multiples of 872

Frequently Asked Questions on LCM of 868 and 872

1. What is the LCM of 868 and 872?

Answer: LCM of 868 and 872 is 189224.

2. 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.

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 868 and 872?

Answer:

Least Common Multiple of 868 and 872 = 189224

Step 1: Find the prime factorization of 868

868 = 2 x 2 x 7 x 31

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 = 189224 = 2 x 2 x 2 x 7 x 31 x 109

Step 4: Therefore, the least common multiple of 868 and 872 is 189224.