Least Common Multiple of 2808 and 2812

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2808 and 2812 the smallest integer that is 1974024 that is divisible by both numbers.

Least Common Multiple (LCM) of 2808 and 2812 is 1974024.

LCM(2808,2812) = 1974024

LCM of 2808 and 2812

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

LCM of:
and

Least Common Multiple of 2808 and 2812

LCM of 2808 and 2812 is 1974024

Least common multiple can be found by multiplying the highest exponent prime factors of 2808 and 2812. First we will calculate the prime factors of 2808 and 2812.

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

Prime Factorization of 2812


2 2812
2 1406
19 703
37 37
1

Prime factors of 2812 are 2, 19,37. Prime factorization of 2812 in exponential form is:

2812 = 22×191×371

Now multiplying the highest exponent prime factors to calculate the LCM of 2808 and 2812.

LCM(2808,2812) = 23×33×131×191×371
LCM(2808,2812) = 1974024

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

Factors of 2812

List of positive integer factors of 2812 that divides 2812 without a remainder.

1, 2, 4, 19, 37, 38, 74, 76, 148, 703, 1406, 2812

Least Common Multiple of 2808 and 2812 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2808 and 2812, than apply into the LCM equation.

GCF(2808,2812) = 4
LCM(2808,2812) = ( 2808 × 2812) / 4
LCM(2808,2812) = 7896096 / 4
LCM(2808,2812) = 1974024

Properties of LCM 2808 and 2812

(i) The LCM of 2812 and 2808 is associative

LCM of 2808 and 2812 = LCM of 2812 and 2808

Related Least Common Multiples of 2808

Related Least Common Multiples of 2812

Frequently Asked Questions on LCM of 2808 and 2812

1. What is the LCM of 2808 and 2812?

Answer: LCM of 2808 and 2812 is 1974024.

2. 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.

3. What are the Factors of 2812?

Answer: Factors of 2812 are 1, 2, 4, 19, 37, 38, 74, 76, 148, 703, 1406, 2812. There are 12 integers that are factors of 2812. The greatest factor of 2812 is 2812.

4. How to Find the LCM of 2808 and 2812?

Answer:

Least Common Multiple of 2808 and 2812 = 1974024

Step 1: Find the prime factorization of 2808

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

Step 2: Find the prime factorization of 2812

2812 = 2 x 2 x 19 x 37

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

LCM = 1974024 = 2 x 2 x 2 x 3 x 3 x 3 x 13 x 19 x 37

Step 4: Therefore, the least common multiple of 2808 and 2812 is 1974024.