Least Common Multiple of 2823 and 2824

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 2824 the smallest integer that is 7972152 that is divisible by both numbers.

Least Common Multiple (LCM) of 2823 and 2824 is 7972152.

LCM(2823,2824) = 7972152

LCM of 2823 and 2824

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

LCM of:
and

Least Common Multiple of 2823 and 2824

LCM of 2823 and 2824 is 7972152

Least common multiple can be found by multiplying the highest exponent prime factors of 2823 and 2824. First we will calculate the prime factors of 2823 and 2824.

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 2824


2 2824
2 1412
2 706
353 353
1

Prime factors of 2824 are 2,353. Prime factorization of 2824 in exponential form is:

2824 = 23×3531

Now multiplying the highest exponent prime factors to calculate the LCM of 2823 and 2824.

LCM(2823,2824) = 23×31×3531×9411
LCM(2823,2824) = 7972152

Factors of 2823

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

1, 3, 941, 2823

Factors of 2824

List of positive integer factors of 2824 that divides 2824 without a remainder.

1, 2, 4, 8, 353, 706, 1412, 2824

Least Common Multiple of 2823 and 2824 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 2824, than apply into the LCM equation.

GCF(2823,2824) = 1
LCM(2823,2824) = ( 2823 × 2824) / 1
LCM(2823,2824) = 7972152 / 1
LCM(2823,2824) = 7972152

Properties of LCM 2823 and 2824

(i) The LCM of 2824 and 2823 is associative

LCM of 2823 and 2824 = LCM of 2824 and 2823

Related Least Common Multiples of 2823

Related Least Common Multiples of 2824

Frequently Asked Questions on LCM of 2823 and 2824

1. What is the LCM of 2823 and 2824?

Answer: LCM of 2823 and 2824 is 7972152.

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 2824?

Answer: Factors of 2824 are 1, 2, 4, 8, 353, 706, 1412, 2824. There are 8 integers that are factors of 2824. The greatest factor of 2824 is 2824.

4. How to Find the LCM of 2823 and 2824?

Answer:

Least Common Multiple of 2823 and 2824 = 7972152

Step 1: Find the prime factorization of 2823

2823 = 3 x 941

Step 2: Find the prime factorization of 2824

2824 = 2 x 2 x 2 x 353

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

LCM = 7972152 = 2 x 2 x 2 x 3 x 353 x 941

Step 4: Therefore, the least common multiple of 2823 and 2824 is 7972152.