Least Common Multiple of 812 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 812 and 820 the smallest integer that is 166460 that is divisible by both numbers.

Least Common Multiple (LCM) of 812 and 820 is 166460.

LCM(812,820) = 166460

LCM of 812 and 820

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

LCM of:
and

Least Common Multiple of 812 and 820

LCM of 812 and 820 is 166460

Least common multiple can be found by multiplying the highest exponent prime factors of 812 and 820. First we will calculate the prime factors of 812 and 820.

Prime Factorization of 812


2 812
2 406
7 203
29 29
1

Prime factors of 812 are 2, 7,29. Prime factorization of 812 in exponential form is:

812 = 22×71×291

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 812 and 820.

LCM(812,820) = 22×51×71×291×411
LCM(812,820) = 166460

Factors of 812

List of positive integer factors of 812 that divides 812 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

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 812 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 812 and 820, than apply into the LCM equation.

GCF(812,820) = 4
LCM(812,820) = ( 812 × 820) / 4
LCM(812,820) = 665840 / 4
LCM(812,820) = 166460

Properties of LCM 812 and 820

(i) The LCM of 820 and 812 is associative

LCM of 812 and 820 = LCM of 820 and 812

Related Least Common Multiples of 812

Related Least Common Multiples of 820

Frequently Asked Questions on LCM of 812 and 820

1. What is the LCM of 812 and 820?

Answer: LCM of 812 and 820 is 166460.

2. What are the Factors of 812?

Answer: Factors of 812 are 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812. There are 12 integers that are factors of 812. The greatest factor of 812 is 812.

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 812 and 820?

Answer:

Least Common Multiple of 812 and 820 = 166460

Step 1: Find the prime factorization of 812

812 = 2 x 2 x 7 x 29

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 = 166460 = 2 x 2 x 5 x 7 x 29 x 41

Step 4: Therefore, the least common multiple of 812 and 820 is 166460.