Least Common Multiple of 813 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 813 and 820 the smallest integer that is 666660 that is divisible by both numbers.

Least Common Multiple (LCM) of 813 and 820 is 666660.

LCM(813,820) = 666660

LCM of 813 and 820

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

LCM of:
and

Least Common Multiple of 813 and 820

LCM of 813 and 820 is 666660

Least common multiple can be found by multiplying the highest exponent prime factors of 813 and 820. First we will calculate the prime factors of 813 and 820.

Prime Factorization of 813


3 813
271 271
1

Prime factors of 813 are 3,271. Prime factorization of 813 in exponential form is:

813 = 31×2711

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 813 and 820.

LCM(813,820) = 22×31×51×411×2711
LCM(813,820) = 666660

Factors of 813

List of positive integer factors of 813 that divides 813 without a remainder.

1, 3, 271, 813

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 813 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 813 and 820, than apply into the LCM equation.

GCF(813,820) = 1
LCM(813,820) = ( 813 × 820) / 1
LCM(813,820) = 666660 / 1
LCM(813,820) = 666660

Properties of LCM 813 and 820

(i) The LCM of 820 and 813 is associative

LCM of 813 and 820 = LCM of 820 and 813

Related Least Common Multiples of 813

Related Least Common Multiples of 820

Frequently Asked Questions on LCM of 813 and 820

1. What is the LCM of 813 and 820?

Answer: LCM of 813 and 820 is 666660.

2. What are the Factors of 813?

Answer: Factors of 813 are 1, 3, 271, 813. There are 4 integers that are factors of 813. The greatest factor of 813 is 813.

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 813 and 820?

Answer:

Least Common Multiple of 813 and 820 = 666660

Step 1: Find the prime factorization of 813

813 = 3 x 271

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 = 666660 = 2 x 2 x 3 x 5 x 41 x 271

Step 4: Therefore, the least common multiple of 813 and 820 is 666660.