Least Common Multiple of 8826 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 8826 and 8832 the smallest integer that is 12991872 that is divisible by both numbers.

Least Common Multiple (LCM) of 8826 and 8832 is 12991872.

LCM(8826,8832) = 12991872

LCM of 8826 and 8832

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

LCM of:
and

Least Common Multiple of 8826 and 8832

LCM of 8826 and 8832 is 12991872

Least common multiple can be found by multiplying the highest exponent prime factors of 8826 and 8832. First we will calculate the prime factors of 8826 and 8832.

Prime Factorization of 8826


2 8826
3 4413
1471 1471
1

Prime factors of 8826 are 2, 3,1471. Prime factorization of 8826 in exponential form is:

8826 = 21×31×14711

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 8826 and 8832.

LCM(8826,8832) = 27×31×231×14711
LCM(8826,8832) = 12991872

Factors of 8826

List of positive integer factors of 8826 that divides 8826 without a remainder.

1, 2, 3, 6, 1471, 2942, 4413, 8826

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 8826 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 8826 and 8832, than apply into the LCM equation.

GCF(8826,8832) = 6
LCM(8826,8832) = ( 8826 × 8832) / 6
LCM(8826,8832) = 77951232 / 6
LCM(8826,8832) = 12991872

Properties of LCM 8826 and 8832

(i) The LCM of 8832 and 8826 is associative

LCM of 8826 and 8832 = LCM of 8832 and 8826

Related Least Common Multiples of 8826

Related Least Common Multiples of 8832

Frequently Asked Questions on LCM of 8826 and 8832

1. What is the LCM of 8826 and 8832?

Answer: LCM of 8826 and 8832 is 12991872.

2. What are the Factors of 8826?

Answer: Factors of 8826 are 1, 2, 3, 6, 1471, 2942, 4413, 8826. There are 8 integers that are factors of 8826. The greatest factor of 8826 is 8826.

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 8826 and 8832?

Answer:

Least Common Multiple of 8826 and 8832 = 12991872

Step 1: Find the prime factorization of 8826

8826 = 2 x 3 x 1471

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 = 12991872 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 23 x 1471

Step 4: Therefore, the least common multiple of 8826 and 8832 is 12991872.