Least Common Multiple of 8864 and 8872

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8864 and 8872 the smallest integer that is 9830176 that is divisible by both numbers.

Least Common Multiple (LCM) of 8864 and 8872 is 9830176.

LCM(8864,8872) = 9830176

LCM of 8864 and 8872

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

LCM of:
and

Least Common Multiple of 8864 and 8872

LCM of 8864 and 8872 is 9830176

Least common multiple can be found by multiplying the highest exponent prime factors of 8864 and 8872. First we will calculate the prime factors of 8864 and 8872.

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

Prime Factorization of 8872


2 8872
2 4436
2 2218
1109 1109
1

Prime factors of 8872 are 2,1109. Prime factorization of 8872 in exponential form is:

8872 = 23×11091

Now multiplying the highest exponent prime factors to calculate the LCM of 8864 and 8872.

LCM(8864,8872) = 25×2771×11091
LCM(8864,8872) = 9830176

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

Factors of 8872

List of positive integer factors of 8872 that divides 8872 without a remainder.

1, 2, 4, 8, 1109, 2218, 4436, 8872

Least Common Multiple of 8864 and 8872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8864 and 8872, than apply into the LCM equation.

GCF(8864,8872) = 8
LCM(8864,8872) = ( 8864 × 8872) / 8
LCM(8864,8872) = 78641408 / 8
LCM(8864,8872) = 9830176

Properties of LCM 8864 and 8872

(i) The LCM of 8872 and 8864 is associative

LCM of 8864 and 8872 = LCM of 8872 and 8864

Related Least Common Multiples of 8864

Related Least Common Multiples of 8872

Frequently Asked Questions on LCM of 8864 and 8872

1. What is the LCM of 8864 and 8872?

Answer: LCM of 8864 and 8872 is 9830176.

2. 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.

3. What are the Factors of 8872?

Answer: Factors of 8872 are 1, 2, 4, 8, 1109, 2218, 4436, 8872. There are 8 integers that are factors of 8872. The greatest factor of 8872 is 8872.

4. How to Find the LCM of 8864 and 8872?

Answer:

Least Common Multiple of 8864 and 8872 = 9830176

Step 1: Find the prime factorization of 8864

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

Step 2: Find the prime factorization of 8872

8872 = 2 x 2 x 2 x 1109

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

LCM = 9830176 = 2 x 2 x 2 x 2 x 2 x 277 x 1109

Step 4: Therefore, the least common multiple of 8864 and 8872 is 9830176.