Least Common Multiple of 8812 and 8820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8812 and 8820 the smallest integer that is 19430460 that is divisible by both numbers.

Least Common Multiple (LCM) of 8812 and 8820 is 19430460.

LCM(8812,8820) = 19430460

LCM of 8812 and 8820

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

LCM of:
and

Least Common Multiple of 8812 and 8820

LCM of 8812 and 8820 is 19430460

Least common multiple can be found by multiplying the highest exponent prime factors of 8812 and 8820. First we will calculate the prime factors of 8812 and 8820.

Prime Factorization of 8812


2 8812
2 4406
2203 2203
1

Prime factors of 8812 are 2,2203. Prime factorization of 8812 in exponential form is:

8812 = 22×22031

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8812 and 8820.

LCM(8812,8820) = 22×32×51×72×22031
LCM(8812,8820) = 19430460

Factors of 8812

List of positive integer factors of 8812 that divides 8812 without a remainder.

1, 2, 4, 2203, 4406, 8812

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

Least Common Multiple of 8812 and 8820 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8812 and 8820, than apply into the LCM equation.

GCF(8812,8820) = 4
LCM(8812,8820) = ( 8812 × 8820) / 4
LCM(8812,8820) = 77721840 / 4
LCM(8812,8820) = 19430460

Properties of LCM 8812 and 8820

(i) The LCM of 8820 and 8812 is associative

LCM of 8812 and 8820 = LCM of 8820 and 8812

Related Least Common Multiples of 8812

Related Least Common Multiples of 8820

Frequently Asked Questions on LCM of 8812 and 8820

1. What is the LCM of 8812 and 8820?

Answer: LCM of 8812 and 8820 is 19430460.

2. What are the Factors of 8812?

Answer: Factors of 8812 are 1, 2, 4, 2203, 4406, 8812. There are 6 integers that are factors of 8812. The greatest factor of 8812 is 8812.

3. 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.

4. How to Find the LCM of 8812 and 8820?

Answer:

Least Common Multiple of 8812 and 8820 = 19430460

Step 1: Find the prime factorization of 8812

8812 = 2 x 2 x 2203

Step 2: Find the prime factorization of 8820

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

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

LCM = 19430460 = 2 x 2 x 3 x 3 x 5 x 7 x 7 x 2203

Step 4: Therefore, the least common multiple of 8812 and 8820 is 19430460.