Least Common Multiple of 2810 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 2810 and 2814 the smallest integer that is 3953670 that is divisible by both numbers.

Least Common Multiple (LCM) of 2810 and 2814 is 3953670.

LCM(2810,2814) = 3953670

LCM of 2810 and 2814

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

LCM of:
and

Least Common Multiple of 2810 and 2814

LCM of 2810 and 2814 is 3953670

Least common multiple can be found by multiplying the highest exponent prime factors of 2810 and 2814. First we will calculate the prime factors of 2810 and 2814.

Prime Factorization of 2810


2 2810
5 1405
281 281
1

Prime factors of 2810 are 2, 5,281. Prime factorization of 2810 in exponential form is:

2810 = 21×51×2811

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 2810 and 2814.

LCM(2810,2814) = 21×31×51×71×671×2811
LCM(2810,2814) = 3953670

Factors of 2810

List of positive integer factors of 2810 that divides 2810 without a remainder.

1, 2, 5, 10, 281, 562, 1405, 2810

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 2810 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 2810 and 2814, than apply into the LCM equation.

GCF(2810,2814) = 2
LCM(2810,2814) = ( 2810 × 2814) / 2
LCM(2810,2814) = 7907340 / 2
LCM(2810,2814) = 3953670

Properties of LCM 2810 and 2814

(i) The LCM of 2814 and 2810 is associative

LCM of 2810 and 2814 = LCM of 2814 and 2810

Related Least Common Multiples of 2810

Related Least Common Multiples of 2814

Frequently Asked Questions on LCM of 2810 and 2814

1. What is the LCM of 2810 and 2814?

Answer: LCM of 2810 and 2814 is 3953670.

2. What are the Factors of 2810?

Answer: Factors of 2810 are 1, 2, 5, 10, 281, 562, 1405, 2810. There are 8 integers that are factors of 2810. The greatest factor of 2810 is 2810.

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 2810 and 2814?

Answer:

Least Common Multiple of 2810 and 2814 = 3953670

Step 1: Find the prime factorization of 2810

2810 = 2 x 5 x 281

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 = 3953670 = 2 x 3 x 5 x 7 x 67 x 281

Step 4: Therefore, the least common multiple of 2810 and 2814 is 3953670.