Least Common Multiple of 1815 and 1819

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 1819 the smallest integer that is 3301485 that is divisible by both numbers.

Least Common Multiple (LCM) of 1815 and 1819 is 3301485.

LCM(1815,1819) = 3301485

LCM of 1815 and 1819

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

LCM of:
and

Least Common Multiple of 1815 and 1819

LCM of 1815 and 1819 is 3301485

Least common multiple can be found by multiplying the highest exponent prime factors of 1815 and 1819. First we will calculate the prime factors of 1815 and 1819.

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 1819


17 1819
107 107
1

Prime factors of 1819 are 17,107. Prime factorization of 1819 in exponential form is:

1819 = 171×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 1815 and 1819.

LCM(1815,1819) = 31×51×112×171×1071
LCM(1815,1819) = 3301485

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 1819

List of positive integer factors of 1819 that divides 1819 without a remainder.

1, 17, 107, 1819

Least Common Multiple of 1815 and 1819 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 1819, than apply into the LCM equation.

GCF(1815,1819) = 1
LCM(1815,1819) = ( 1815 × 1819) / 1
LCM(1815,1819) = 3301485 / 1
LCM(1815,1819) = 3301485

Properties of LCM 1815 and 1819

(i) The LCM of 1819 and 1815 is associative

LCM of 1815 and 1819 = LCM of 1819 and 1815

Related Least Common Multiples of 1815

Related Least Common Multiples of 1819

Frequently Asked Questions on LCM of 1815 and 1819

1. What is the LCM of 1815 and 1819?

Answer: LCM of 1815 and 1819 is 3301485.

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 1819?

Answer: Factors of 1819 are 1, 17, 107, 1819. There are 4 integers that are factors of 1819. The greatest factor of 1819 is 1819.

4. How to Find the LCM of 1815 and 1819?

Answer:

Least Common Multiple of 1815 and 1819 = 3301485

Step 1: Find the prime factorization of 1815

1815 = 3 x 5 x 11 x 11

Step 2: Find the prime factorization of 1819

1819 = 17 x 107

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

LCM = 3301485 = 3 x 5 x 11 x 11 x 17 x 107

Step 4: Therefore, the least common multiple of 1815 and 1819 is 3301485.