Least Common Multiple of 2814 and 2822

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2814 and 2822 the smallest integer that is 3970554 that is divisible by both numbers.

Least Common Multiple (LCM) of 2814 and 2822 is 3970554.

LCM(2814,2822) = 3970554

LCM of 2814 and 2822

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

LCM of:
and

Least Common Multiple of 2814 and 2822

LCM of 2814 and 2822 is 3970554

Least common multiple can be found by multiplying the highest exponent prime factors of 2814 and 2822. First we will calculate the prime factors of 2814 and 2822.

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

Prime Factorization of 2822


2 2822
17 1411
83 83
1

Prime factors of 2822 are 2, 17,83. Prime factorization of 2822 in exponential form is:

2822 = 21×171×831

Now multiplying the highest exponent prime factors to calculate the LCM of 2814 and 2822.

LCM(2814,2822) = 21×31×71×171×671×831
LCM(2814,2822) = 3970554

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

Factors of 2822

List of positive integer factors of 2822 that divides 2822 without a remainder.

1, 2, 17, 34, 83, 166, 1411, 2822

Least Common Multiple of 2814 and 2822 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2814 and 2822, than apply into the LCM equation.

GCF(2814,2822) = 2
LCM(2814,2822) = ( 2814 × 2822) / 2
LCM(2814,2822) = 7941108 / 2
LCM(2814,2822) = 3970554

Properties of LCM 2814 and 2822

(i) The LCM of 2822 and 2814 is associative

LCM of 2814 and 2822 = LCM of 2822 and 2814

Related Least Common Multiples of 2814

Related Least Common Multiples of 2822

Frequently Asked Questions on LCM of 2814 and 2822

1. What is the LCM of 2814 and 2822?

Answer: LCM of 2814 and 2822 is 3970554.

2. 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.

3. What are the Factors of 2822?

Answer: Factors of 2822 are 1, 2, 17, 34, 83, 166, 1411, 2822. There are 8 integers that are factors of 2822. The greatest factor of 2822 is 2822.

4. How to Find the LCM of 2814 and 2822?

Answer:

Least Common Multiple of 2814 and 2822 = 3970554

Step 1: Find the prime factorization of 2814

2814 = 2 x 3 x 7 x 67

Step 2: Find the prime factorization of 2822

2822 = 2 x 17 x 83

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

LCM = 3970554 = 2 x 3 x 7 x 17 x 67 x 83

Step 4: Therefore, the least common multiple of 2814 and 2822 is 3970554.