Least Common Multiple of 1813 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 1813 and 1821 the smallest integer that is 3301473 that is divisible by both numbers.

Least Common Multiple (LCM) of 1813 and 1821 is 3301473.

LCM(1813,1821) = 3301473

LCM of 1813 and 1821

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

LCM of:
and

Least Common Multiple of 1813 and 1821

LCM of 1813 and 1821 is 3301473

Least common multiple can be found by multiplying the highest exponent prime factors of 1813 and 1821. First we will calculate the prime factors of 1813 and 1821.

Prime Factorization of 1813


7 1813
7 259
37 37
1

Prime factors of 1813 are 7,37. Prime factorization of 1813 in exponential form is:

1813 = 72×371

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 1813 and 1821.

LCM(1813,1821) = 31×72×371×6071
LCM(1813,1821) = 3301473

Factors of 1813

List of positive integer factors of 1813 that divides 1813 without a remainder.

1, 7, 37, 49, 259, 1813

Factors of 1821

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

1, 3, 607, 1821

Least Common Multiple of 1813 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 1813 and 1821, than apply into the LCM equation.

GCF(1813,1821) = 1
LCM(1813,1821) = ( 1813 × 1821) / 1
LCM(1813,1821) = 3301473 / 1
LCM(1813,1821) = 3301473

Properties of LCM 1813 and 1821

(i) The LCM of 1821 and 1813 is associative

LCM of 1813 and 1821 = LCM of 1821 and 1813

Related Least Common Multiples of 1813

Related Least Common Multiples of 1821

Frequently Asked Questions on LCM of 1813 and 1821

1. What is the LCM of 1813 and 1821?

Answer: LCM of 1813 and 1821 is 3301473.

2. What are the Factors of 1813?

Answer: Factors of 1813 are 1, 7, 37, 49, 259, 1813. There are 6 integers that are factors of 1813. The greatest factor of 1813 is 1813.

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 1813 and 1821?

Answer:

Least Common Multiple of 1813 and 1821 = 3301473

Step 1: Find the prime factorization of 1813

1813 = 7 x 7 x 37

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 = 3301473 = 3 x 7 x 7 x 37 x 607

Step 4: Therefore, the least common multiple of 1813 and 1821 is 3301473.