Least Common Multiple of 861 and 864

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 864 the smallest integer that is 247968 that is divisible by both numbers.

Least Common Multiple (LCM) of 861 and 864 is 247968.

LCM(861,864) = 247968

LCM of 861 and 864

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

LCM of:
and

Least Common Multiple of 861 and 864

LCM of 861 and 864 is 247968

Least common multiple can be found by multiplying the highest exponent prime factors of 861 and 864. First we will calculate the prime factors of 861 and 864.

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 864


2 864
2 432
2 216
2 108
2 54
3 27
3 9
3 3
1

Prime factors of 864 are 2,3. Prime factorization of 864 in exponential form is:

864 = 25×33

Now multiplying the highest exponent prime factors to calculate the LCM of 861 and 864.

LCM(861,864) = 25×33×71×411
LCM(861,864) = 247968

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 864

List of positive integer factors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Least Common Multiple of 861 and 864 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 864, than apply into the LCM equation.

GCF(861,864) = 3
LCM(861,864) = ( 861 × 864) / 3
LCM(861,864) = 743904 / 3
LCM(861,864) = 247968

Properties of LCM 861 and 864

(i) The LCM of 864 and 861 is associative

LCM of 861 and 864 = LCM of 864 and 861

Related Least Common Multiples of 861

Related Least Common Multiples of 864

Frequently Asked Questions on LCM of 861 and 864

1. What is the LCM of 861 and 864?

Answer: LCM of 861 and 864 is 247968.

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 864?

Answer: Factors of 864 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864. There are 24 integers that are factors of 864. The greatest factor of 864 is 864.

4. How to Find the LCM of 861 and 864?

Answer:

Least Common Multiple of 861 and 864 = 247968

Step 1: Find the prime factorization of 861

861 = 3 x 7 x 41

Step 2: Find the prime factorization of 864

864 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

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

LCM = 247968 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 7 x 41

Step 4: Therefore, the least common multiple of 861 and 864 is 247968.