Least Common Multiple of 820 and 826

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 826 the smallest integer that is 338660 that is divisible by both numbers.

Least Common Multiple (LCM) of 820 and 826 is 338660.

LCM(820,826) = 338660

LCM of 820 and 826

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

LCM of:
and

Least Common Multiple of 820 and 826

LCM of 820 and 826 is 338660

Least common multiple can be found by multiplying the highest exponent prime factors of 820 and 826. First we will calculate the prime factors of 820 and 826.

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 826


2 826
7 413
59 59
1

Prime factors of 826 are 2, 7,59. Prime factorization of 826 in exponential form is:

826 = 21×71×591

Now multiplying the highest exponent prime factors to calculate the LCM of 820 and 826.

LCM(820,826) = 22×51×71×411×591
LCM(820,826) = 338660

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 826

List of positive integer factors of 826 that divides 826 without a remainder.

1, 2, 7, 14, 59, 118, 413, 826

Least Common Multiple of 820 and 826 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 826, than apply into the LCM equation.

GCF(820,826) = 2
LCM(820,826) = ( 820 × 826) / 2
LCM(820,826) = 677320 / 2
LCM(820,826) = 338660

Properties of LCM 820 and 826

(i) The LCM of 826 and 820 is associative

LCM of 820 and 826 = LCM of 826 and 820

Related Least Common Multiples of 820

Related Least Common Multiples of 826

Frequently Asked Questions on LCM of 820 and 826

1. What is the LCM of 820 and 826?

Answer: LCM of 820 and 826 is 338660.

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 826?

Answer: Factors of 826 are 1, 2, 7, 14, 59, 118, 413, 826. There are 8 integers that are factors of 826. The greatest factor of 826 is 826.

4. How to Find the LCM of 820 and 826?

Answer:

Least Common Multiple of 820 and 826 = 338660

Step 1: Find the prime factorization of 820

820 = 2 x 2 x 5 x 41

Step 2: Find the prime factorization of 826

826 = 2 x 7 x 59

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

LCM = 338660 = 2 x 2 x 5 x 7 x 41 x 59

Step 4: Therefore, the least common multiple of 820 and 826 is 338660.