Least Common Multiple of 8820 and 8828

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8820 and 8828 the smallest integer that is 19465740 that is divisible by both numbers.

Least Common Multiple (LCM) of 8820 and 8828 is 19465740.

LCM(8820,8828) = 19465740

LCM of 8820 and 8828

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

LCM of:
and

Least Common Multiple of 8820 and 8828

LCM of 8820 and 8828 is 19465740

Least common multiple can be found by multiplying the highest exponent prime factors of 8820 and 8828. First we will calculate the prime factors of 8820 and 8828.

Prime Factorization of 8820


2 8820
2 4410
3 2205
3 735
5 245
7 49
7 7
1

Prime factors of 8820 are 2, 3, 5,7. Prime factorization of 8820 in exponential form is:

8820 = 22×32×51×72

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8820 and 8828.

LCM(8820,8828) = 22×32×51×72×22071
LCM(8820,8828) = 19465740

Factors of 8820

List of positive integer factors of 8820 that divides 8820 without a remainder.

1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 28, 30, 35, 36, 42, 45, 49, 60, 63, 70, 84, 90, 98, 105, 126, 140, 147, 180, 196, 210, 245, 252, 294, 315, 420, 441, 490, 588, 630, 735, 882, 980, 1260, 1470, 1764, 2205, 2940, 4410, 8820

Factors of 8828

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

1, 2, 4, 2207, 4414, 8828

Least Common Multiple of 8820 and 8828 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8820 and 8828, than apply into the LCM equation.

GCF(8820,8828) = 4
LCM(8820,8828) = ( 8820 × 8828) / 4
LCM(8820,8828) = 77862960 / 4
LCM(8820,8828) = 19465740

Properties of LCM 8820 and 8828

(i) The LCM of 8828 and 8820 is associative

LCM of 8820 and 8828 = LCM of 8828 and 8820

Related Least Common Multiples of 8820

Related Least Common Multiples of 8828

Frequently Asked Questions on LCM of 8820 and 8828

1. What is the LCM of 8820 and 8828?

Answer: LCM of 8820 and 8828 is 19465740.

2. What are the Factors of 8820?

Answer: Factors of 8820 are 1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 28, 30, 35, 36, 42, 45, 49, 60, 63, 70, 84, 90, 98, 105, 126, 140, 147, 180, 196, 210, 245, 252, 294, 315, 420, 441, 490, 588, 630, 735, 882, 980, 1260, 1470, 1764, 2205, 2940, 4410, 8820. There are 54 integers that are factors of 8820. The greatest factor of 8820 is 8820.

3. 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.

4. How to Find the LCM of 8820 and 8828?

Answer:

Least Common Multiple of 8820 and 8828 = 19465740

Step 1: Find the prime factorization of 8820

8820 = 2 x 2 x 3 x 3 x 5 x 7 x 7

Step 2: Find the prime factorization of 8828

8828 = 2 x 2 x 2207

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

LCM = 19465740 = 2 x 2 x 3 x 3 x 5 x 7 x 7 x 2207

Step 4: Therefore, the least common multiple of 8820 and 8828 is 19465740.