Least Common Multiple of 1815 and 1820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1815 and 1820 the smallest integer that is 660660 that is divisible by both numbers.

Least Common Multiple (LCM) of 1815 and 1820 is 660660.

LCM(1815,1820) = 660660

LCM of 1815 and 1820

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

LCM of:
and

Least Common Multiple of 1815 and 1820

LCM of 1815 and 1820 is 660660

Least common multiple can be found by multiplying the highest exponent prime factors of 1815 and 1820. First we will calculate the prime factors of 1815 and 1820.

Prime Factorization of 1815


3 1815
5 605
11 121
11 11
1

Prime factors of 1815 are 3, 5,11. Prime factorization of 1815 in exponential form is:

1815 = 31×51×112

Prime Factorization of 1820


2 1820
2 910
5 455
7 91
13 13
1

Prime factors of 1820 are 2, 5, 7,13. Prime factorization of 1820 in exponential form is:

1820 = 22×51×71×131

Now multiplying the highest exponent prime factors to calculate the LCM of 1815 and 1820.

LCM(1815,1820) = 22×31×51×71×112×131
LCM(1815,1820) = 660660

Factors of 1815

List of positive integer factors of 1815 that divides 1815 without a remainder.

1, 3, 5, 11, 15, 33, 55, 121, 165, 363, 605, 1815

Factors of 1820

List of positive integer factors of 1820 that divides 1820 without a remainder.

1, 2, 4, 5, 7, 10, 13, 14, 20, 26, 28, 35, 52, 65, 70, 91, 130, 140, 182, 260, 364, 455, 910, 1820

Least Common Multiple of 1815 and 1820 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1815 and 1820, than apply into the LCM equation.

GCF(1815,1820) = 5
LCM(1815,1820) = ( 1815 × 1820) / 5
LCM(1815,1820) = 3303300 / 5
LCM(1815,1820) = 660660

Properties of LCM 1815 and 1820

(i) The LCM of 1820 and 1815 is associative

LCM of 1815 and 1820 = LCM of 1820 and 1815

Related Least Common Multiples of 1815

Related Least Common Multiples of 1820

Frequently Asked Questions on LCM of 1815 and 1820

1. What is the LCM of 1815 and 1820?

Answer: LCM of 1815 and 1820 is 660660.

2. What are the Factors of 1815?

Answer: Factors of 1815 are 1, 3, 5, 11, 15, 33, 55, 121, 165, 363, 605, 1815. There are 12 integers that are factors of 1815. The greatest factor of 1815 is 1815.

3. What are the Factors of 1820?

Answer: Factors of 1820 are 1, 2, 4, 5, 7, 10, 13, 14, 20, 26, 28, 35, 52, 65, 70, 91, 130, 140, 182, 260, 364, 455, 910, 1820. There are 24 integers that are factors of 1820. The greatest factor of 1820 is 1820.

4. How to Find the LCM of 1815 and 1820?

Answer:

Least Common Multiple of 1815 and 1820 = 660660

Step 1: Find the prime factorization of 1815

1815 = 3 x 5 x 11 x 11

Step 2: Find the prime factorization of 1820

1820 = 2 x 2 x 5 x 7 x 13

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

LCM = 660660 = 2 x 2 x 3 x 5 x 7 x 11 x 11 x 13

Step 4: Therefore, the least common multiple of 1815 and 1820 is 660660.