Least Common Multiple of 1815 and 1822

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 1822 the smallest integer that is 3306930 that is divisible by both numbers.

Least Common Multiple (LCM) of 1815 and 1822 is 3306930.

LCM(1815,1822) = 3306930

LCM of 1815 and 1822

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

LCM of:
and

Least Common Multiple of 1815 and 1822

LCM of 1815 and 1822 is 3306930

Least common multiple can be found by multiplying the highest exponent prime factors of 1815 and 1822. First we will calculate the prime factors of 1815 and 1822.

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 1822


2 1822
911 911
1

Prime factors of 1822 are 2,911. Prime factorization of 1822 in exponential form is:

1822 = 21×9111

Now multiplying the highest exponent prime factors to calculate the LCM of 1815 and 1822.

LCM(1815,1822) = 21×31×51×112×9111
LCM(1815,1822) = 3306930

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 1822

List of positive integer factors of 1822 that divides 1822 without a remainder.

1, 2, 911, 1822

Least Common Multiple of 1815 and 1822 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 1822, than apply into the LCM equation.

GCF(1815,1822) = 1
LCM(1815,1822) = ( 1815 × 1822) / 1
LCM(1815,1822) = 3306930 / 1
LCM(1815,1822) = 3306930

Properties of LCM 1815 and 1822

(i) The LCM of 1822 and 1815 is associative

LCM of 1815 and 1822 = LCM of 1822 and 1815

Related Least Common Multiples of 1815

Related Least Common Multiples of 1822

Frequently Asked Questions on LCM of 1815 and 1822

1. What is the LCM of 1815 and 1822?

Answer: LCM of 1815 and 1822 is 3306930.

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 1822?

Answer: Factors of 1822 are 1, 2, 911, 1822. There are 4 integers that are factors of 1822. The greatest factor of 1822 is 1822.

4. How to Find the LCM of 1815 and 1822?

Answer:

Least Common Multiple of 1815 and 1822 = 3306930

Step 1: Find the prime factorization of 1815

1815 = 3 x 5 x 11 x 11

Step 2: Find the prime factorization of 1822

1822 = 2 x 911

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

LCM = 3306930 = 2 x 3 x 5 x 11 x 11 x 911

Step 4: Therefore, the least common multiple of 1815 and 1822 is 3306930.