Least Common Multiple of 868 and 869

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 869 the smallest integer that is 754292 that is divisible by both numbers.

Least Common Multiple (LCM) of 868 and 869 is 754292.

LCM(868,869) = 754292

LCM of 868 and 869

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

LCM of:
and

Least Common Multiple of 868 and 869

LCM of 868 and 869 is 754292

Least common multiple can be found by multiplying the highest exponent prime factors of 868 and 869. First we will calculate the prime factors of 868 and 869.

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 869


11 869
79 79
1

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

869 = 111×791

Now multiplying the highest exponent prime factors to calculate the LCM of 868 and 869.

LCM(868,869) = 22×71×111×311×791
LCM(868,869) = 754292

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 869

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

1, 11, 79, 869

Least Common Multiple of 868 and 869 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 869, than apply into the LCM equation.

GCF(868,869) = 1
LCM(868,869) = ( 868 × 869) / 1
LCM(868,869) = 754292 / 1
LCM(868,869) = 754292

Properties of LCM 868 and 869

(i) The LCM of 869 and 868 is associative

LCM of 868 and 869 = LCM of 869 and 868

Related Least Common Multiples of 868

Related Least Common Multiples of 869

Frequently Asked Questions on LCM of 868 and 869

1. What is the LCM of 868 and 869?

Answer: LCM of 868 and 869 is 754292.

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 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.

4. How to Find the LCM of 868 and 869?

Answer:

Least Common Multiple of 868 and 869 = 754292

Step 1: Find the prime factorization of 868

868 = 2 x 2 x 7 x 31

Step 2: Find the prime factorization of 869

869 = 11 x 79

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

LCM = 754292 = 2 x 2 x 7 x 11 x 31 x 79

Step 4: Therefore, the least common multiple of 868 and 869 is 754292.