Least Common Multiple of 869 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 869 and 872 the smallest integer that is 757768 that is divisible by both numbers.

Least Common Multiple (LCM) of 869 and 872 is 757768.

LCM(869,872) = 757768

LCM of 869 and 872

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

LCM of:
and

Least Common Multiple of 869 and 872

LCM of 869 and 872 is 757768

Least common multiple can be found by multiplying the highest exponent prime factors of 869 and 872. First we will calculate the prime factors of 869 and 872.

Prime Factorization of 869


11 869
79 79
1

Prime factors of 869 are 11,79. Prime factorization of 869 in exponential form is:

869 = 111×791

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 869 and 872.

LCM(869,872) = 23×111×791×1091
LCM(869,872) = 757768

Factors of 869

List of positive integer factors of 869 that divides 869 without a remainder.

1, 11, 79, 869

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 869 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 869 and 872, than apply into the LCM equation.

GCF(869,872) = 1
LCM(869,872) = ( 869 × 872) / 1
LCM(869,872) = 757768 / 1
LCM(869,872) = 757768

Properties of LCM 869 and 872

(i) The LCM of 872 and 869 is associative

LCM of 869 and 872 = LCM of 872 and 869

Related Least Common Multiples of 869

Related Least Common Multiples of 872

Frequently Asked Questions on LCM of 869 and 872

1. What is the LCM of 869 and 872?

Answer: LCM of 869 and 872 is 757768.

2. What are the Factors of 869?

Answer: Factors of 869 are 1, 11, 79, 869. There are 4 integers that are factors of 869. The greatest factor of 869 is 869.

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 869 and 872?

Answer:

Least Common Multiple of 869 and 872 = 757768

Step 1: Find the prime factorization of 869

869 = 11 x 79

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 = 757768 = 2 x 2 x 2 x 11 x 79 x 109

Step 4: Therefore, the least common multiple of 869 and 872 is 757768.