Least Common Multiple of 822 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 822 and 826 the smallest integer that is 339486 that is divisible by both numbers.

Least Common Multiple (LCM) of 822 and 826 is 339486.

LCM(822,826) = 339486

LCM of 822 and 826

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

LCM of:
and

Least Common Multiple of 822 and 826

LCM of 822 and 826 is 339486

Least common multiple can be found by multiplying the highest exponent prime factors of 822 and 826. First we will calculate the prime factors of 822 and 826.

Prime Factorization of 822


2 822
3 411
137 137
1

Prime factors of 822 are 2, 3,137. Prime factorization of 822 in exponential form is:

822 = 21×31×1371

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 822 and 826.

LCM(822,826) = 21×31×71×591×1371
LCM(822,826) = 339486

Factors of 822

List of positive integer factors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

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 822 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 822 and 826, than apply into the LCM equation.

GCF(822,826) = 2
LCM(822,826) = ( 822 × 826) / 2
LCM(822,826) = 678972 / 2
LCM(822,826) = 339486

Properties of LCM 822 and 826

(i) The LCM of 826 and 822 is associative

LCM of 822 and 826 = LCM of 826 and 822

Related Least Common Multiples of 822

Related Least Common Multiples of 826

Frequently Asked Questions on LCM of 822 and 826

1. What is the LCM of 822 and 826?

Answer: LCM of 822 and 826 is 339486.

2. What are the Factors of 822?

Answer: Factors of 822 are 1, 2, 3, 6, 137, 274, 411, 822. There are 8 integers that are factors of 822. The greatest factor of 822 is 822.

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 822 and 826?

Answer:

Least Common Multiple of 822 and 826 = 339486

Step 1: Find the prime factorization of 822

822 = 2 x 3 x 137

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 = 339486 = 2 x 3 x 7 x 59 x 137

Step 4: Therefore, the least common multiple of 822 and 826 is 339486.