Least Common Multiple of 820 and 824

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 824 the smallest integer that is 168920 that is divisible by both numbers.

Least Common Multiple (LCM) of 820 and 824 is 168920.

LCM(820,824) = 168920

LCM of 820 and 824

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

LCM of:
and

Least Common Multiple of 820 and 824

LCM of 820 and 824 is 168920

Least common multiple can be found by multiplying the highest exponent prime factors of 820 and 824. First we will calculate the prime factors of 820 and 824.

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 824


2 824
2 412
2 206
103 103
1

Prime factors of 824 are 2,103. Prime factorization of 824 in exponential form is:

824 = 23×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 820 and 824.

LCM(820,824) = 23×51×411×1031
LCM(820,824) = 168920

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 824

List of positive integer factors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Least Common Multiple of 820 and 824 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 824, than apply into the LCM equation.

GCF(820,824) = 4
LCM(820,824) = ( 820 × 824) / 4
LCM(820,824) = 675680 / 4
LCM(820,824) = 168920

Properties of LCM 820 and 824

(i) The LCM of 824 and 820 is associative

LCM of 820 and 824 = LCM of 824 and 820

Related Least Common Multiples of 820

Related Least Common Multiples of 824

Frequently Asked Questions on LCM of 820 and 824

1. What is the LCM of 820 and 824?

Answer: LCM of 820 and 824 is 168920.

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 824?

Answer: Factors of 824 are 1, 2, 4, 8, 103, 206, 412, 824. There are 8 integers that are factors of 824. The greatest factor of 824 is 824.

4. How to Find the LCM of 820 and 824?

Answer:

Least Common Multiple of 820 and 824 = 168920

Step 1: Find the prime factorization of 820

820 = 2 x 2 x 5 x 41

Step 2: Find the prime factorization of 824

824 = 2 x 2 x 2 x 103

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

LCM = 168920 = 2 x 2 x 2 x 5 x 41 x 103

Step 4: Therefore, the least common multiple of 820 and 824 is 168920.