Least Common Multiple of 2836 and 2842

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2836 and 2842 the smallest integer that is 4029956 that is divisible by both numbers.

Least Common Multiple (LCM) of 2836 and 2842 is 4029956.

LCM(2836,2842) = 4029956

LCM of 2836 and 2842

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

LCM of:
and

Least Common Multiple of 2836 and 2842

LCM of 2836 and 2842 is 4029956

Least common multiple can be found by multiplying the highest exponent prime factors of 2836 and 2842. First we will calculate the prime factors of 2836 and 2842.

Prime Factorization of 2836


2 2836
2 1418
709 709
1

Prime factors of 2836 are 2,709. Prime factorization of 2836 in exponential form is:

2836 = 22×7091

Prime Factorization of 2842


2 2842
7 1421
7 203
29 29
1

Prime factors of 2842 are 2, 7,29. Prime factorization of 2842 in exponential form is:

2842 = 21×72×291

Now multiplying the highest exponent prime factors to calculate the LCM of 2836 and 2842.

LCM(2836,2842) = 22×72×291×7091
LCM(2836,2842) = 4029956

Factors of 2836

List of positive integer factors of 2836 that divides 2836 without a remainder.

1, 2, 4, 709, 1418, 2836

Factors of 2842

List of positive integer factors of 2842 that divides 2842 without a remainder.

1, 2, 7, 14, 29, 49, 58, 98, 203, 406, 1421, 2842

Least Common Multiple of 2836 and 2842 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2836 and 2842, than apply into the LCM equation.

GCF(2836,2842) = 2
LCM(2836,2842) = ( 2836 × 2842) / 2
LCM(2836,2842) = 8059912 / 2
LCM(2836,2842) = 4029956

Properties of LCM 2836 and 2842

(i) The LCM of 2842 and 2836 is associative

LCM of 2836 and 2842 = LCM of 2842 and 2836

Related Least Common Multiples of 2836

Related Least Common Multiples of 2842

Frequently Asked Questions on LCM of 2836 and 2842

1. What is the LCM of 2836 and 2842?

Answer: LCM of 2836 and 2842 is 4029956.

2. What are the Factors of 2836?

Answer: Factors of 2836 are 1, 2, 4, 709, 1418, 2836. There are 6 integers that are factors of 2836. The greatest factor of 2836 is 2836.

3. What are the Factors of 2842?

Answer: Factors of 2842 are 1, 2, 7, 14, 29, 49, 58, 98, 203, 406, 1421, 2842. There are 12 integers that are factors of 2842. The greatest factor of 2842 is 2842.

4. How to Find the LCM of 2836 and 2842?

Answer:

Least Common Multiple of 2836 and 2842 = 4029956

Step 1: Find the prime factorization of 2836

2836 = 2 x 2 x 709

Step 2: Find the prime factorization of 2842

2842 = 2 x 7 x 7 x 29

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

LCM = 4029956 = 2 x 2 x 7 x 7 x 29 x 709

Step 4: Therefore, the least common multiple of 2836 and 2842 is 4029956.