Least Common Multiple of 2823 and 2826

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2823 and 2826 the smallest integer that is 2659266 that is divisible by both numbers.

Least Common Multiple (LCM) of 2823 and 2826 is 2659266.

LCM(2823,2826) = 2659266

LCM of 2823 and 2826

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

LCM of:
and

Least Common Multiple of 2823 and 2826

LCM of 2823 and 2826 is 2659266

Least common multiple can be found by multiplying the highest exponent prime factors of 2823 and 2826. First we will calculate the prime factors of 2823 and 2826.

Prime Factorization of 2823


3 2823
941 941
1

Prime factors of 2823 are 3,941. Prime factorization of 2823 in exponential form is:

2823 = 31×9411

Prime Factorization of 2826


2 2826
3 1413
3 471
157 157
1

Prime factors of 2826 are 2, 3,157. Prime factorization of 2826 in exponential form is:

2826 = 21×32×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 2823 and 2826.

LCM(2823,2826) = 21×32×1571×9411
LCM(2823,2826) = 2659266

Factors of 2823

List of positive integer factors of 2823 that divides 2823 without a remainder.

1, 3, 941, 2823

Factors of 2826

List of positive integer factors of 2826 that divides 2826 without a remainder.

1, 2, 3, 6, 9, 18, 157, 314, 471, 942, 1413, 2826

Least Common Multiple of 2823 and 2826 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2823 and 2826, than apply into the LCM equation.

GCF(2823,2826) = 3
LCM(2823,2826) = ( 2823 × 2826) / 3
LCM(2823,2826) = 7977798 / 3
LCM(2823,2826) = 2659266

Properties of LCM 2823 and 2826

(i) The LCM of 2826 and 2823 is associative

LCM of 2823 and 2826 = LCM of 2826 and 2823

Related Least Common Multiples of 2823

Related Least Common Multiples of 2826

Frequently Asked Questions on LCM of 2823 and 2826

1. What is the LCM of 2823 and 2826?

Answer: LCM of 2823 and 2826 is 2659266.

2. What are the Factors of 2823?

Answer: Factors of 2823 are 1, 3, 941, 2823. There are 4 integers that are factors of 2823. The greatest factor of 2823 is 2823.

3. What are the Factors of 2826?

Answer: Factors of 2826 are 1, 2, 3, 6, 9, 18, 157, 314, 471, 942, 1413, 2826. There are 12 integers that are factors of 2826. The greatest factor of 2826 is 2826.

4. How to Find the LCM of 2823 and 2826?

Answer:

Least Common Multiple of 2823 and 2826 = 2659266

Step 1: Find the prime factorization of 2823

2823 = 3 x 941

Step 2: Find the prime factorization of 2826

2826 = 2 x 3 x 3 x 157

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

LCM = 2659266 = 2 x 3 x 3 x 157 x 941

Step 4: Therefore, the least common multiple of 2823 and 2826 is 2659266.