Least Common Multiple of 2818 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 2818 and 2824 the smallest integer that is 3979016 that is divisible by both numbers.

Least Common Multiple (LCM) of 2818 and 2824 is 3979016.

LCM(2818,2824) = 3979016

LCM of 2818 and 2824

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

LCM of:
and

Least Common Multiple of 2818 and 2824

LCM of 2818 and 2824 is 3979016

Least common multiple can be found by multiplying the highest exponent prime factors of 2818 and 2824. First we will calculate the prime factors of 2818 and 2824.

Prime Factorization of 2818


2 2818
1409 1409
1

Prime factors of 2818 are 2,1409. Prime factorization of 2818 in exponential form is:

2818 = 21×14091

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 2818 and 2824.

LCM(2818,2824) = 23×3531×14091
LCM(2818,2824) = 3979016

Factors of 2818

List of positive integer factors of 2818 that divides 2818 without a remainder.

1, 2, 1409, 2818

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 2818 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 2818 and 2824, than apply into the LCM equation.

GCF(2818,2824) = 2
LCM(2818,2824) = ( 2818 × 2824) / 2
LCM(2818,2824) = 7958032 / 2
LCM(2818,2824) = 3979016

Properties of LCM 2818 and 2824

(i) The LCM of 2824 and 2818 is associative

LCM of 2818 and 2824 = LCM of 2824 and 2818

Related Least Common Multiples of 2818

Related Least Common Multiples of 2824

Frequently Asked Questions on LCM of 2818 and 2824

1. What is the LCM of 2818 and 2824?

Answer: LCM of 2818 and 2824 is 3979016.

2. What are the Factors of 2818?

Answer: Factors of 2818 are 1, 2, 1409, 2818. There are 4 integers that are factors of 2818. The greatest factor of 2818 is 2818.

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 2818 and 2824?

Answer:

Least Common Multiple of 2818 and 2824 = 3979016

Step 1: Find the prime factorization of 2818

2818 = 2 x 1409

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 = 3979016 = 2 x 2 x 2 x 353 x 1409

Step 4: Therefore, the least common multiple of 2818 and 2824 is 3979016.