Least Common Multiple of 1815 and 1821

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 1821 the smallest integer that is 1101705 that is divisible by both numbers.

Least Common Multiple (LCM) of 1815 and 1821 is 1101705.

LCM(1815,1821) = 1101705

LCM of 1815 and 1821

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

LCM of:
and

Least Common Multiple of 1815 and 1821

LCM of 1815 and 1821 is 1101705

Least common multiple can be found by multiplying the highest exponent prime factors of 1815 and 1821. First we will calculate the prime factors of 1815 and 1821.

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 1821


3 1821
607 607
1

Prime factors of 1821 are 3,607. Prime factorization of 1821 in exponential form is:

1821 = 31×6071

Now multiplying the highest exponent prime factors to calculate the LCM of 1815 and 1821.

LCM(1815,1821) = 31×51×112×6071
LCM(1815,1821) = 1101705

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 1821

List of positive integer factors of 1821 that divides 1821 without a remainder.

1, 3, 607, 1821

Least Common Multiple of 1815 and 1821 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 1821, than apply into the LCM equation.

GCF(1815,1821) = 3
LCM(1815,1821) = ( 1815 × 1821) / 3
LCM(1815,1821) = 3305115 / 3
LCM(1815,1821) = 1101705

Properties of LCM 1815 and 1821

(i) The LCM of 1821 and 1815 is associative

LCM of 1815 and 1821 = LCM of 1821 and 1815

Related Least Common Multiples of 1815

Related Least Common Multiples of 1821

Frequently Asked Questions on LCM of 1815 and 1821

1. What is the LCM of 1815 and 1821?

Answer: LCM of 1815 and 1821 is 1101705.

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 1821?

Answer: Factors of 1821 are 1, 3, 607, 1821. There are 4 integers that are factors of 1821. The greatest factor of 1821 is 1821.

4. How to Find the LCM of 1815 and 1821?

Answer:

Least Common Multiple of 1815 and 1821 = 1101705

Step 1: Find the prime factorization of 1815

1815 = 3 x 5 x 11 x 11

Step 2: Find the prime factorization of 1821

1821 = 3 x 607

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

LCM = 1101705 = 3 x 5 x 11 x 11 x 607

Step 4: Therefore, the least common multiple of 1815 and 1821 is 1101705.