Least Common Multiple of 1815 and 1823

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 1823 the smallest integer that is 3308745 that is divisible by both numbers.

Least Common Multiple (LCM) of 1815 and 1823 is 3308745.

LCM(1815,1823) = 3308745

LCM of 1815 and 1823

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

LCM of:
and

Least Common Multiple of 1815 and 1823

LCM of 1815 and 1823 is 3308745

Least common multiple can be found by multiplying the highest exponent prime factors of 1815 and 1823. First we will calculate the prime factors of 1815 and 1823.

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 1823


1823 1823
1

Prime factors of 1823 are 1823. Prime factorization of 1823 in exponential form is:

1823 = 18231

Now multiplying the highest exponent prime factors to calculate the LCM of 1815 and 1823.

LCM(1815,1823) = 31×51×112×18231
LCM(1815,1823) = 3308745

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 1823

List of positive integer factors of 1823 that divides 1823 without a remainder.

1, 1823

Least Common Multiple of 1815 and 1823 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 1823, than apply into the LCM equation.

GCF(1815,1823) = 1
LCM(1815,1823) = ( 1815 × 1823) / 1
LCM(1815,1823) = 3308745 / 1
LCM(1815,1823) = 3308745

Properties of LCM 1815 and 1823

(i) The LCM of 1823 and 1815 is associative

LCM of 1815 and 1823 = LCM of 1823 and 1815

Related Least Common Multiples of 1815

Related Least Common Multiples of 1823

Frequently Asked Questions on LCM of 1815 and 1823

1. What is the LCM of 1815 and 1823?

Answer: LCM of 1815 and 1823 is 3308745.

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 1823?

Answer: Factors of 1823 are 1, 1823. There are 2 integers that are factors of 1823. The greatest factor of 1823 is 1823.

4. How to Find the LCM of 1815 and 1823?

Answer:

Least Common Multiple of 1815 and 1823 = 3308745

Step 1: Find the prime factorization of 1815

1815 = 3 x 5 x 11 x 11

Step 2: Find the prime factorization of 1823

1823 = 1823

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

LCM = 3308745 = 3 x 5 x 11 x 11 x 1823

Step 4: Therefore, the least common multiple of 1815 and 1823 is 3308745.