Least Common Multiple of 8828 and 8833

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8828 and 8833 the smallest integer that is 77977724 that is divisible by both numbers.

Least Common Multiple (LCM) of 8828 and 8833 is 77977724.

LCM(8828,8833) = 77977724

LCM of 8828 and 8833

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

LCM of:
and

Least Common Multiple of 8828 and 8833

LCM of 8828 and 8833 is 77977724

Least common multiple can be found by multiplying the highest exponent prime factors of 8828 and 8833. First we will calculate the prime factors of 8828 and 8833.

Prime Factorization of 8828


2 8828
2 4414
2207 2207
1

Prime factors of 8828 are 2,2207. Prime factorization of 8828 in exponential form is:

8828 = 22×22071

Prime Factorization of 8833


11 8833
11 803
73 73
1

Prime factors of 8833 are 11,73. Prime factorization of 8833 in exponential form is:

8833 = 112×731

Now multiplying the highest exponent prime factors to calculate the LCM of 8828 and 8833.

LCM(8828,8833) = 22×112×731×22071
LCM(8828,8833) = 77977724

Factors of 8828

List of positive integer factors of 8828 that divides 8828 without a remainder.

1, 2, 4, 2207, 4414, 8828

Factors of 8833

List of positive integer factors of 8833 that divides 8833 without a remainder.

1, 11, 73, 121, 803, 8833

Least Common Multiple of 8828 and 8833 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8828 and 8833, than apply into the LCM equation.

GCF(8828,8833) = 1
LCM(8828,8833) = ( 8828 × 8833) / 1
LCM(8828,8833) = 77977724 / 1
LCM(8828,8833) = 77977724

Properties of LCM 8828 and 8833

(i) The LCM of 8833 and 8828 is associative

LCM of 8828 and 8833 = LCM of 8833 and 8828

Related Least Common Multiples of 8828

Related Least Common Multiples of 8833

Frequently Asked Questions on LCM of 8828 and 8833

1. What is the LCM of 8828 and 8833?

Answer: LCM of 8828 and 8833 is 77977724.

2. What are the Factors of 8828?

Answer: Factors of 8828 are 1, 2, 4, 2207, 4414, 8828. There are 6 integers that are factors of 8828. The greatest factor of 8828 is 8828.

3. What are the Factors of 8833?

Answer: Factors of 8833 are 1, 11, 73, 121, 803, 8833. There are 6 integers that are factors of 8833. The greatest factor of 8833 is 8833.

4. How to Find the LCM of 8828 and 8833?

Answer:

Least Common Multiple of 8828 and 8833 = 77977724

Step 1: Find the prime factorization of 8828

8828 = 2 x 2 x 2207

Step 2: Find the prime factorization of 8833

8833 = 11 x 11 x 73

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

LCM = 77977724 = 2 x 2 x 11 x 11 x 73 x 2207

Step 4: Therefore, the least common multiple of 8828 and 8833 is 77977724.