Least Common Multiple of 2802 and 2808

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2802 and 2808 the smallest integer that is 1311336 that is divisible by both numbers.

Least Common Multiple (LCM) of 2802 and 2808 is 1311336.

LCM(2802,2808) = 1311336

LCM of 2802 and 2808

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

LCM of:
and

Least Common Multiple of 2802 and 2808

LCM of 2802 and 2808 is 1311336

Least common multiple can be found by multiplying the highest exponent prime factors of 2802 and 2808. First we will calculate the prime factors of 2802 and 2808.

Prime Factorization of 2802


2 2802
3 1401
467 467
1

Prime factors of 2802 are 2, 3,467. Prime factorization of 2802 in exponential form is:

2802 = 21×31×4671

Prime Factorization of 2808


2 2808
2 1404
2 702
3 351
3 117
3 39
13 13
1

Prime factors of 2808 are 2, 3,13. Prime factorization of 2808 in exponential form is:

2808 = 23×33×131

Now multiplying the highest exponent prime factors to calculate the LCM of 2802 and 2808.

LCM(2802,2808) = 23×33×131×4671
LCM(2802,2808) = 1311336

Factors of 2802

List of positive integer factors of 2802 that divides 2802 without a remainder.

1, 2, 3, 6, 467, 934, 1401, 2802

Factors of 2808

List of positive integer factors of 2808 that divides 2808 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 27, 36, 39, 52, 54, 72, 78, 104, 108, 117, 156, 216, 234, 312, 351, 468, 702, 936, 1404, 2808

Least Common Multiple of 2802 and 2808 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2802 and 2808, than apply into the LCM equation.

GCF(2802,2808) = 6
LCM(2802,2808) = ( 2802 × 2808) / 6
LCM(2802,2808) = 7868016 / 6
LCM(2802,2808) = 1311336

Properties of LCM 2802 and 2808

(i) The LCM of 2808 and 2802 is associative

LCM of 2802 and 2808 = LCM of 2808 and 2802

Related Least Common Multiples of 2802

Related Least Common Multiples of 2808

Frequently Asked Questions on LCM of 2802 and 2808

1. What is the LCM of 2802 and 2808?

Answer: LCM of 2802 and 2808 is 1311336.

2. What are the Factors of 2802?

Answer: Factors of 2802 are 1, 2, 3, 6, 467, 934, 1401, 2802. There are 8 integers that are factors of 2802. The greatest factor of 2802 is 2802.

3. What are the Factors of 2808?

Answer: Factors of 2808 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 27, 36, 39, 52, 54, 72, 78, 104, 108, 117, 156, 216, 234, 312, 351, 468, 702, 936, 1404, 2808. There are 32 integers that are factors of 2808. The greatest factor of 2808 is 2808.

4. How to Find the LCM of 2802 and 2808?

Answer:

Least Common Multiple of 2802 and 2808 = 1311336

Step 1: Find the prime factorization of 2802

2802 = 2 x 3 x 467

Step 2: Find the prime factorization of 2808

2808 = 2 x 2 x 2 x 3 x 3 x 3 x 13

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

LCM = 1311336 = 2 x 2 x 2 x 3 x 3 x 3 x 13 x 467

Step 4: Therefore, the least common multiple of 2802 and 2808 is 1311336.