Least Common Multiple of 819 and 820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 819 and 820 the smallest integer that is 671580 that is divisible by both numbers.

Least Common Multiple (LCM) of 819 and 820 is 671580.

LCM(819,820) = 671580

LCM of 819 and 820

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

LCM of:
and

Least Common Multiple of 819 and 820

LCM of 819 and 820 is 671580

Least common multiple can be found by multiplying the highest exponent prime factors of 819 and 820. First we will calculate the prime factors of 819 and 820.

Prime Factorization of 819


3 819
3 273
7 91
13 13
1

Prime factors of 819 are 3, 7,13. Prime factorization of 819 in exponential form is:

819 = 32×71×131

Prime Factorization of 820


2 820
2 410
5 205
41 41
1

Prime factors of 820 are 2, 5,41. Prime factorization of 820 in exponential form is:

820 = 22×51×411

Now multiplying the highest exponent prime factors to calculate the LCM of 819 and 820.

LCM(819,820) = 22×32×51×71×131×411
LCM(819,820) = 671580

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Least Common Multiple of 819 and 820 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 819 and 820, than apply into the LCM equation.

GCF(819,820) = 1
LCM(819,820) = ( 819 × 820) / 1
LCM(819,820) = 671580 / 1
LCM(819,820) = 671580

Properties of LCM 819 and 820

(i) The LCM of 820 and 819 is associative

LCM of 819 and 820 = LCM of 820 and 819

Related Least Common Multiples of 819

Related Least Common Multiples of 820

Frequently Asked Questions on LCM of 819 and 820

1. What is the LCM of 819 and 820?

Answer: LCM of 819 and 820 is 671580.

2. What are the Factors of 819?

Answer: Factors of 819 are 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819. There are 12 integers that are factors of 819. The greatest factor of 819 is 819.

3. What are the Factors of 820?

Answer: Factors of 820 are 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820. There are 12 integers that are factors of 820. The greatest factor of 820 is 820.

4. How to Find the LCM of 819 and 820?

Answer:

Least Common Multiple of 819 and 820 = 671580

Step 1: Find the prime factorization of 819

819 = 3 x 3 x 7 x 13

Step 2: Find the prime factorization of 820

820 = 2 x 2 x 5 x 41

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

LCM = 671580 = 2 x 2 x 3 x 3 x 5 x 7 x 13 x 41

Step 4: Therefore, the least common multiple of 819 and 820 is 671580.