Least Common Multiple of 861 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 861 and 868 the smallest integer that is 106764 that is divisible by both numbers.

Least Common Multiple (LCM) of 861 and 868 is 106764.

LCM(861,868) = 106764

LCM of 861 and 868

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

LCM of:
and

Least Common Multiple of 861 and 868

LCM of 861 and 868 is 106764

Least common multiple can be found by multiplying the highest exponent prime factors of 861 and 868. First we will calculate the prime factors of 861 and 868.

Prime Factorization of 861


3 861
7 287
41 41
1

Prime factors of 861 are 3, 7,41. Prime factorization of 861 in exponential form is:

861 = 31×71×411

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 861 and 868.

LCM(861,868) = 22×31×71×311×411
LCM(861,868) = 106764

Factors of 861

List of positive integer factors of 861 that divides 861 without a remainder.

1, 3, 7, 21, 41, 123, 287, 861

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 861 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 861 and 868, than apply into the LCM equation.

GCF(861,868) = 7
LCM(861,868) = ( 861 × 868) / 7
LCM(861,868) = 747348 / 7
LCM(861,868) = 106764

Properties of LCM 861 and 868

(i) The LCM of 868 and 861 is associative

LCM of 861 and 868 = LCM of 868 and 861

Related Least Common Multiples of 861

Related Least Common Multiples of 868

Frequently Asked Questions on LCM of 861 and 868

1. What is the LCM of 861 and 868?

Answer: LCM of 861 and 868 is 106764.

2. What are the Factors of 861?

Answer: Factors of 861 are 1, 3, 7, 21, 41, 123, 287, 861. There are 8 integers that are factors of 861. The greatest factor of 861 is 861.

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 861 and 868?

Answer:

Least Common Multiple of 861 and 868 = 106764

Step 1: Find the prime factorization of 861

861 = 3 x 7 x 41

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 = 106764 = 2 x 2 x 3 x 7 x 31 x 41

Step 4: Therefore, the least common multiple of 861 and 868 is 106764.