Least Common Multiple of 820 and 821

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 820 and 821 the smallest integer that is 673220 that is divisible by both numbers.

Least Common Multiple (LCM) of 820 and 821 is 673220.

LCM(820,821) = 673220

LCM of 820 and 821

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

LCM of:
and

Least Common Multiple of 820 and 821

LCM of 820 and 821 is 673220

Least common multiple can be found by multiplying the highest exponent prime factors of 820 and 821. First we will calculate the prime factors of 820 and 821.

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

Prime Factorization of 821


821 821
1

Prime factors of 821 are 821. Prime factorization of 821 in exponential form is:

821 = 8211

Now multiplying the highest exponent prime factors to calculate the LCM of 820 and 821.

LCM(820,821) = 22×51×411×8211
LCM(820,821) = 673220

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

Factors of 821

List of positive integer factors of 821 that divides 821 without a remainder.

1, 821

Least Common Multiple of 820 and 821 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 820 and 821, than apply into the LCM equation.

GCF(820,821) = 1
LCM(820,821) = ( 820 × 821) / 1
LCM(820,821) = 673220 / 1
LCM(820,821) = 673220

Properties of LCM 820 and 821

(i) The LCM of 821 and 820 is associative

LCM of 820 and 821 = LCM of 821 and 820

Related Least Common Multiples of 820

Related Least Common Multiples of 821

Frequently Asked Questions on LCM of 820 and 821

1. What is the LCM of 820 and 821?

Answer: LCM of 820 and 821 is 673220.

2. 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.

3. What are the Factors of 821?

Answer: Factors of 821 are 1, 821. There are 2 integers that are factors of 821. The greatest factor of 821 is 821.

4. How to Find the LCM of 820 and 821?

Answer:

Least Common Multiple of 820 and 821 = 673220

Step 1: Find the prime factorization of 820

820 = 2 x 2 x 5 x 41

Step 2: Find the prime factorization of 821

821 = 821

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

LCM = 673220 = 2 x 2 x 5 x 41 x 821

Step 4: Therefore, the least common multiple of 820 and 821 is 673220.