Least Common Multiple of 823 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 823 and 826 the smallest integer that is 679798 that is divisible by both numbers.

Least Common Multiple (LCM) of 823 and 826 is 679798.

LCM(823,826) = 679798

LCM of 823 and 826

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

LCM of:
and

Least Common Multiple of 823 and 826

LCM of 823 and 826 is 679798

Least common multiple can be found by multiplying the highest exponent prime factors of 823 and 826. First we will calculate the prime factors of 823 and 826.

Prime Factorization of 823


823 823
1

Prime factors of 823 are 823. Prime factorization of 823 in exponential form is:

823 = 8231

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 823 and 826.

LCM(823,826) = 21×71×591×8231
LCM(823,826) = 679798

Factors of 823

List of positive integer factors of 823 that divides 823 without a remainder.

1, 823

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 823 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 823 and 826, than apply into the LCM equation.

GCF(823,826) = 1
LCM(823,826) = ( 823 × 826) / 1
LCM(823,826) = 679798 / 1
LCM(823,826) = 679798

Properties of LCM 823 and 826

(i) The LCM of 826 and 823 is associative

LCM of 823 and 826 = LCM of 826 and 823

Related Least Common Multiples of 823

Related Least Common Multiples of 826

Frequently Asked Questions on LCM of 823 and 826

1. What is the LCM of 823 and 826?

Answer: LCM of 823 and 826 is 679798.

2. What are the Factors of 823?

Answer: Factors of 823 are 1, 823. There are 2 integers that are factors of 823. The greatest factor of 823 is 823.

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 823 and 826?

Answer:

Least Common Multiple of 823 and 826 = 679798

Step 1: Find the prime factorization of 823

823 = 823

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 = 679798 = 2 x 7 x 59 x 823

Step 4: Therefore, the least common multiple of 823 and 826 is 679798.