Least Common Multiple of 856 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 856 and 864 the smallest integer that is 92448 that is divisible by both numbers.

Least Common Multiple (LCM) of 856 and 864 is 92448.

LCM(856,864) = 92448

LCM of 856 and 864

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

LCM of:
and

Least Common Multiple of 856 and 864

LCM of 856 and 864 is 92448

Least common multiple can be found by multiplying the highest exponent prime factors of 856 and 864. First we will calculate the prime factors of 856 and 864.

Prime Factorization of 856


2 856
2 428
2 214
107 107
1

Prime factors of 856 are 2,107. Prime factorization of 856 in exponential form is:

856 = 23×1071

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 856 and 864.

LCM(856,864) = 25×33×1071
LCM(856,864) = 92448

Factors of 856

List of positive integer factors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

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 856 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 856 and 864, than apply into the LCM equation.

GCF(856,864) = 8
LCM(856,864) = ( 856 × 864) / 8
LCM(856,864) = 739584 / 8
LCM(856,864) = 92448

Properties of LCM 856 and 864

(i) The LCM of 864 and 856 is associative

LCM of 856 and 864 = LCM of 864 and 856

Related Least Common Multiples of 856

Related Least Common Multiples of 864

Frequently Asked Questions on LCM of 856 and 864

1. What is the LCM of 856 and 864?

Answer: LCM of 856 and 864 is 92448.

2. What are the Factors of 856?

Answer: Factors of 856 are 1, 2, 4, 8, 107, 214, 428, 856. There are 8 integers that are factors of 856. The greatest factor of 856 is 856.

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 856 and 864?

Answer:

Least Common Multiple of 856 and 864 = 92448

Step 1: Find the prime factorization of 856

856 = 2 x 2 x 2 x 107

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 = 92448 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 107

Step 4: Therefore, the least common multiple of 856 and 864 is 92448.