Least Common Multiple of 1813 and 1820

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 1820 the smallest integer that is 471380 that is divisible by both numbers.

Least Common Multiple (LCM) of 1813 and 1820 is 471380.

LCM(1813,1820) = 471380

LCM of 1813 and 1820

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

LCM of:
and

Least Common Multiple of 1813 and 1820

LCM of 1813 and 1820 is 471380

Least common multiple can be found by multiplying the highest exponent prime factors of 1813 and 1820. First we will calculate the prime factors of 1813 and 1820.

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 1820


2 1820
2 910
5 455
7 91
13 13
1

Prime factors of 1820 are 2, 5, 7,13. Prime factorization of 1820 in exponential form is:

1820 = 22×51×71×131

Now multiplying the highest exponent prime factors to calculate the LCM of 1813 and 1820.

LCM(1813,1820) = 22×51×72×131×371
LCM(1813,1820) = 471380

Factors of 1813

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

1, 7, 37, 49, 259, 1813

Factors of 1820

List of positive integer factors of 1820 that divides 1820 without a remainder.

1, 2, 4, 5, 7, 10, 13, 14, 20, 26, 28, 35, 52, 65, 70, 91, 130, 140, 182, 260, 364, 455, 910, 1820

Least Common Multiple of 1813 and 1820 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 1820, than apply into the LCM equation.

GCF(1813,1820) = 7
LCM(1813,1820) = ( 1813 × 1820) / 7
LCM(1813,1820) = 3299660 / 7
LCM(1813,1820) = 471380

Properties of LCM 1813 and 1820

(i) The LCM of 1820 and 1813 is associative

LCM of 1813 and 1820 = LCM of 1820 and 1813

Related Least Common Multiples of 1813

Related Least Common Multiples of 1820

Frequently Asked Questions on LCM of 1813 and 1820

1. What is the LCM of 1813 and 1820?

Answer: LCM of 1813 and 1820 is 471380.

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 1820?

Answer: Factors of 1820 are 1, 2, 4, 5, 7, 10, 13, 14, 20, 26, 28, 35, 52, 65, 70, 91, 130, 140, 182, 260, 364, 455, 910, 1820. There are 24 integers that are factors of 1820. The greatest factor of 1820 is 1820.

4. How to Find the LCM of 1813 and 1820?

Answer:

Least Common Multiple of 1813 and 1820 = 471380

Step 1: Find the prime factorization of 1813

1813 = 7 x 7 x 37

Step 2: Find the prime factorization of 1820

1820 = 2 x 2 x 5 x 7 x 13

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

LCM = 471380 = 2 x 2 x 5 x 7 x 7 x 13 x 37

Step 4: Therefore, the least common multiple of 1813 and 1820 is 471380.