Least Common Multiple of 2808 and 2814

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 2814 the smallest integer that is 1316952 that is divisible by both numbers.

Least Common Multiple (LCM) of 2808 and 2814 is 1316952.

LCM(2808,2814) = 1316952

LCM of 2808 and 2814

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

LCM of:
and

Least Common Multiple of 2808 and 2814

LCM of 2808 and 2814 is 1316952

Least common multiple can be found by multiplying the highest exponent prime factors of 2808 and 2814. First we will calculate the prime factors of 2808 and 2814.

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 2814


2 2814
3 1407
7 469
67 67
1

Prime factors of 2814 are 2, 3, 7,67. Prime factorization of 2814 in exponential form is:

2814 = 21×31×71×671

Now multiplying the highest exponent prime factors to calculate the LCM of 2808 and 2814.

LCM(2808,2814) = 23×33×71×131×671
LCM(2808,2814) = 1316952

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 2814

List of positive integer factors of 2814 that divides 2814 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 67, 134, 201, 402, 469, 938, 1407, 2814

Least Common Multiple of 2808 and 2814 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 2814, than apply into the LCM equation.

GCF(2808,2814) = 6
LCM(2808,2814) = ( 2808 × 2814) / 6
LCM(2808,2814) = 7901712 / 6
LCM(2808,2814) = 1316952

Properties of LCM 2808 and 2814

(i) The LCM of 2814 and 2808 is associative

LCM of 2808 and 2814 = LCM of 2814 and 2808

Related Least Common Multiples of 2808

Related Least Common Multiples of 2814

Frequently Asked Questions on LCM of 2808 and 2814

1. What is the LCM of 2808 and 2814?

Answer: LCM of 2808 and 2814 is 1316952.

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 2814?

Answer: Factors of 2814 are 1, 2, 3, 6, 7, 14, 21, 42, 67, 134, 201, 402, 469, 938, 1407, 2814. There are 16 integers that are factors of 2814. The greatest factor of 2814 is 2814.

4. How to Find the LCM of 2808 and 2814?

Answer:

Least Common Multiple of 2808 and 2814 = 1316952

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 2814

2814 = 2 x 3 x 7 x 67

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

LCM = 1316952 = 2 x 2 x 2 x 3 x 3 x 3 x 7 x 13 x 67

Step 4: Therefore, the least common multiple of 2808 and 2814 is 1316952.