Least Common Multiple of 8856 and 8864

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8856 and 8864 the smallest integer that is 9812448 that is divisible by both numbers.

Least Common Multiple (LCM) of 8856 and 8864 is 9812448.

LCM(8856,8864) = 9812448

LCM of 8856 and 8864

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

LCM of:
and

Least Common Multiple of 8856 and 8864

LCM of 8856 and 8864 is 9812448

Least common multiple can be found by multiplying the highest exponent prime factors of 8856 and 8864. First we will calculate the prime factors of 8856 and 8864.

Prime Factorization of 8856


2 8856
2 4428
2 2214
3 1107
3 369
3 123
41 41
1

Prime factors of 8856 are 2, 3,41. Prime factorization of 8856 in exponential form is:

8856 = 23×33×411

Prime Factorization of 8864


2 8864
2 4432
2 2216
2 1108
2 554
277 277
1

Prime factors of 8864 are 2,277. Prime factorization of 8864 in exponential form is:

8864 = 25×2771

Now multiplying the highest exponent prime factors to calculate the LCM of 8856 and 8864.

LCM(8856,8864) = 25×33×411×2771
LCM(8856,8864) = 9812448

Factors of 8856

List of positive integer factors of 8856 that divides 8856 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 41, 54, 72, 82, 108, 123, 164, 216, 246, 328, 369, 492, 738, 984, 1107, 1476, 2214, 2952, 4428, 8856

Factors of 8864

List of positive integer factors of 8864 that divides 8864 without a remainder.

1, 2, 4, 8, 16, 32, 277, 554, 1108, 2216, 4432, 8864

Least Common Multiple of 8856 and 8864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8856 and 8864, than apply into the LCM equation.

GCF(8856,8864) = 8
LCM(8856,8864) = ( 8856 × 8864) / 8
LCM(8856,8864) = 78499584 / 8
LCM(8856,8864) = 9812448

Properties of LCM 8856 and 8864

(i) The LCM of 8864 and 8856 is associative

LCM of 8856 and 8864 = LCM of 8864 and 8856

Related Least Common Multiples of 8856

Related Least Common Multiples of 8864

Frequently Asked Questions on LCM of 8856 and 8864

1. What is the LCM of 8856 and 8864?

Answer: LCM of 8856 and 8864 is 9812448.

2. What are the Factors of 8856?

Answer: Factors of 8856 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 41, 54, 72, 82, 108, 123, 164, 216, 246, 328, 369, 492, 738, 984, 1107, 1476, 2214, 2952, 4428, 8856. There are 32 integers that are factors of 8856. The greatest factor of 8856 is 8856.

3. What are the Factors of 8864?

Answer: Factors of 8864 are 1, 2, 4, 8, 16, 32, 277, 554, 1108, 2216, 4432, 8864. There are 12 integers that are factors of 8864. The greatest factor of 8864 is 8864.

4. How to Find the LCM of 8856 and 8864?

Answer:

Least Common Multiple of 8856 and 8864 = 9812448

Step 1: Find the prime factorization of 8856

8856 = 2 x 2 x 2 x 3 x 3 x 3 x 41

Step 2: Find the prime factorization of 8864

8864 = 2 x 2 x 2 x 2 x 2 x 277

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

LCM = 9812448 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 41 x 277

Step 4: Therefore, the least common multiple of 8856 and 8864 is 9812448.