Least Common Multiple of 2842 and 2846

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2842 and 2846 the smallest integer that is 4044166 that is divisible by both numbers.

Least Common Multiple (LCM) of 2842 and 2846 is 4044166.

LCM(2842,2846) = 4044166

LCM of 2842 and 2846

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

LCM of:
and

Least Common Multiple of 2842 and 2846

LCM of 2842 and 2846 is 4044166

Least common multiple can be found by multiplying the highest exponent prime factors of 2842 and 2846. First we will calculate the prime factors of 2842 and 2846.

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

Prime Factorization of 2846


2 2846
1423 1423
1

Prime factors of 2846 are 2,1423. Prime factorization of 2846 in exponential form is:

2846 = 21×14231

Now multiplying the highest exponent prime factors to calculate the LCM of 2842 and 2846.

LCM(2842,2846) = 21×72×291×14231
LCM(2842,2846) = 4044166

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

Factors of 2846

List of positive integer factors of 2846 that divides 2846 without a remainder.

1, 2, 1423, 2846

Least Common Multiple of 2842 and 2846 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2842 and 2846, than apply into the LCM equation.

GCF(2842,2846) = 2
LCM(2842,2846) = ( 2842 × 2846) / 2
LCM(2842,2846) = 8088332 / 2
LCM(2842,2846) = 4044166

Properties of LCM 2842 and 2846

(i) The LCM of 2846 and 2842 is associative

LCM of 2842 and 2846 = LCM of 2846 and 2842

Related Least Common Multiples of 2842

Related Least Common Multiples of 2846

Frequently Asked Questions on LCM of 2842 and 2846

1. What is the LCM of 2842 and 2846?

Answer: LCM of 2842 and 2846 is 4044166.

2. 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.

3. What are the Factors of 2846?

Answer: Factors of 2846 are 1, 2, 1423, 2846. There are 4 integers that are factors of 2846. The greatest factor of 2846 is 2846.

4. How to Find the LCM of 2842 and 2846?

Answer:

Least Common Multiple of 2842 and 2846 = 4044166

Step 1: Find the prime factorization of 2842

2842 = 2 x 7 x 7 x 29

Step 2: Find the prime factorization of 2846

2846 = 2 x 1423

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

LCM = 4044166 = 2 x 7 x 7 x 29 x 1423

Step 4: Therefore, the least common multiple of 2842 and 2846 is 4044166.