Least Common Multiple of 819 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 819 and 826 the smallest integer that is 96642 that is divisible by both numbers.

Least Common Multiple (LCM) of 819 and 826 is 96642.

LCM(819,826) = 96642

LCM of 819 and 826

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

LCM of:
and

Least Common Multiple of 819 and 826

LCM of 819 and 826 is 96642

Least common multiple can be found by multiplying the highest exponent prime factors of 819 and 826. First we will calculate the prime factors of 819 and 826.

Prime Factorization of 819


3 819
3 273
7 91
13 13
1

Prime factors of 819 are 3, 7,13. Prime factorization of 819 in exponential form is:

819 = 32×71×131

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 819 and 826.

LCM(819,826) = 21×32×71×131×591
LCM(819,826) = 96642

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

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 819 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 819 and 826, than apply into the LCM equation.

GCF(819,826) = 7
LCM(819,826) = ( 819 × 826) / 7
LCM(819,826) = 676494 / 7
LCM(819,826) = 96642

Properties of LCM 819 and 826

(i) The LCM of 826 and 819 is associative

LCM of 819 and 826 = LCM of 826 and 819

Related Least Common Multiples of 819

Related Least Common Multiples of 826

Frequently Asked Questions on LCM of 819 and 826

1. What is the LCM of 819 and 826?

Answer: LCM of 819 and 826 is 96642.

2. What are the Factors of 819?

Answer: Factors of 819 are 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819. There are 12 integers that are factors of 819. The greatest factor of 819 is 819.

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 819 and 826?

Answer:

Least Common Multiple of 819 and 826 = 96642

Step 1: Find the prime factorization of 819

819 = 3 x 3 x 7 x 13

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 = 96642 = 2 x 3 x 3 x 7 x 13 x 59

Step 4: Therefore, the least common multiple of 819 and 826 is 96642.