Least Common Multiple of 8815 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 8815 and 8820 the smallest integer that is 15549660 that is divisible by both numbers.

Least Common Multiple (LCM) of 8815 and 8820 is 15549660.

LCM(8815,8820) = 15549660

LCM of 8815 and 8820

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

LCM of:
and

Least Common Multiple of 8815 and 8820

LCM of 8815 and 8820 is 15549660

Least common multiple can be found by multiplying the highest exponent prime factors of 8815 and 8820. First we will calculate the prime factors of 8815 and 8820.

Prime Factorization of 8815


5 8815
41 1763
43 43
1

Prime factors of 8815 are 5, 41,43. Prime factorization of 8815 in exponential form is:

8815 = 51×411×431

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 8815 and 8820.

LCM(8815,8820) = 22×32×51×72×411×431
LCM(8815,8820) = 15549660

Factors of 8815

List of positive integer factors of 8815 that divides 8815 without a remainder.

1, 5, 41, 43, 205, 215, 1763, 8815

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 8815 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 8815 and 8820, than apply into the LCM equation.

GCF(8815,8820) = 5
LCM(8815,8820) = ( 8815 × 8820) / 5
LCM(8815,8820) = 77748300 / 5
LCM(8815,8820) = 15549660

Properties of LCM 8815 and 8820

(i) The LCM of 8820 and 8815 is associative

LCM of 8815 and 8820 = LCM of 8820 and 8815

Related Least Common Multiples of 8815

Related Least Common Multiples of 8820

Frequently Asked Questions on LCM of 8815 and 8820

1. What is the LCM of 8815 and 8820?

Answer: LCM of 8815 and 8820 is 15549660.

2. What are the Factors of 8815?

Answer: Factors of 8815 are 1, 5, 41, 43, 205, 215, 1763, 8815. There are 8 integers that are factors of 8815. The greatest factor of 8815 is 8815.

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 8815 and 8820?

Answer:

Least Common Multiple of 8815 and 8820 = 15549660

Step 1: Find the prime factorization of 8815

8815 = 5 x 41 x 43

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 = 15549660 = 2 x 2 x 3 x 3 x 5 x 7 x 7 x 41 x 43

Step 4: Therefore, the least common multiple of 8815 and 8820 is 15549660.