Least Common Multiple of 8824 and 8832

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8824 and 8832 the smallest integer that is 9741696 that is divisible by both numbers.

Least Common Multiple (LCM) of 8824 and 8832 is 9741696.

LCM(8824,8832) = 9741696

LCM of 8824 and 8832

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

LCM of:
and

Least Common Multiple of 8824 and 8832

LCM of 8824 and 8832 is 9741696

Least common multiple can be found by multiplying the highest exponent prime factors of 8824 and 8832. First we will calculate the prime factors of 8824 and 8832.

Prime Factorization of 8824


2 8824
2 4412
2 2206
1103 1103
1

Prime factors of 8824 are 2,1103. Prime factorization of 8824 in exponential form is:

8824 = 23×11031

Prime Factorization of 8832


2 8832
2 4416
2 2208
2 1104
2 552
2 276
2 138
3 69
23 23
1

Prime factors of 8832 are 2, 3,23. Prime factorization of 8832 in exponential form is:

8832 = 27×31×231

Now multiplying the highest exponent prime factors to calculate the LCM of 8824 and 8832.

LCM(8824,8832) = 27×31×231×11031
LCM(8824,8832) = 9741696

Factors of 8824

List of positive integer factors of 8824 that divides 8824 without a remainder.

1, 2, 4, 8, 1103, 2206, 4412, 8824

Factors of 8832

List of positive integer factors of 8832 that divides 8832 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 32, 46, 48, 64, 69, 92, 96, 128, 138, 184, 192, 276, 368, 384, 552, 736, 1104, 1472, 2208, 2944, 4416, 8832

Least Common Multiple of 8824 and 8832 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8824 and 8832, than apply into the LCM equation.

GCF(8824,8832) = 8
LCM(8824,8832) = ( 8824 × 8832) / 8
LCM(8824,8832) = 77933568 / 8
LCM(8824,8832) = 9741696

Properties of LCM 8824 and 8832

(i) The LCM of 8832 and 8824 is associative

LCM of 8824 and 8832 = LCM of 8832 and 8824

Related Least Common Multiples of 8824

Related Least Common Multiples of 8832

Frequently Asked Questions on LCM of 8824 and 8832

1. What is the LCM of 8824 and 8832?

Answer: LCM of 8824 and 8832 is 9741696.

2. What are the Factors of 8824?

Answer: Factors of 8824 are 1, 2, 4, 8, 1103, 2206, 4412, 8824. There are 8 integers that are factors of 8824. The greatest factor of 8824 is 8824.

3. What are the Factors of 8832?

Answer: Factors of 8832 are 1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 32, 46, 48, 64, 69, 92, 96, 128, 138, 184, 192, 276, 368, 384, 552, 736, 1104, 1472, 2208, 2944, 4416, 8832. There are 32 integers that are factors of 8832. The greatest factor of 8832 is 8832.

4. How to Find the LCM of 8824 and 8832?

Answer:

Least Common Multiple of 8824 and 8832 = 9741696

Step 1: Find the prime factorization of 8824

8824 = 2 x 2 x 2 x 1103

Step 2: Find the prime factorization of 8832

8832 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 23

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

LCM = 9741696 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 23 x 1103

Step 4: Therefore, the least common multiple of 8824 and 8832 is 9741696.