Least Common Multiple of 821 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 821 and 826 the smallest integer that is 678146 that is divisible by both numbers.

Least Common Multiple (LCM) of 821 and 826 is 678146.

LCM(821,826) = 678146

LCM of 821 and 826

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

LCM of:
and

Least Common Multiple of 821 and 826

LCM of 821 and 826 is 678146

Least common multiple can be found by multiplying the highest exponent prime factors of 821 and 826. First we will calculate the prime factors of 821 and 826.

Prime Factorization of 821


821 821
1

Prime factors of 821 are 821. Prime factorization of 821 in exponential form is:

821 = 8211

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 821 and 826.

LCM(821,826) = 21×71×591×8211
LCM(821,826) = 678146

Factors of 821

List of positive integer factors of 821 that divides 821 without a remainder.

1, 821

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 821 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 821 and 826, than apply into the LCM equation.

GCF(821,826) = 1
LCM(821,826) = ( 821 × 826) / 1
LCM(821,826) = 678146 / 1
LCM(821,826) = 678146

Properties of LCM 821 and 826

(i) The LCM of 826 and 821 is associative

LCM of 821 and 826 = LCM of 826 and 821

Related Least Common Multiples of 821

Related Least Common Multiples of 826

Frequently Asked Questions on LCM of 821 and 826

1. What is the LCM of 821 and 826?

Answer: LCM of 821 and 826 is 678146.

2. What are the Factors of 821?

Answer: Factors of 821 are 1, 821. There are 2 integers that are factors of 821. The greatest factor of 821 is 821.

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 821 and 826?

Answer:

Least Common Multiple of 821 and 826 = 678146

Step 1: Find the prime factorization of 821

821 = 821

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 = 678146 = 2 x 7 x 59 x 821

Step 4: Therefore, the least common multiple of 821 and 826 is 678146.