Least Common Multiple of 2842 and 2848

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 2848 the smallest integer that is 4047008 that is divisible by both numbers.

Least Common Multiple (LCM) of 2842 and 2848 is 4047008.

LCM(2842,2848) = 4047008

LCM of 2842 and 2848

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

LCM of:
and

Least Common Multiple of 2842 and 2848

LCM of 2842 and 2848 is 4047008

Least common multiple can be found by multiplying the highest exponent prime factors of 2842 and 2848. First we will calculate the prime factors of 2842 and 2848.

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 2848


2 2848
2 1424
2 712
2 356
2 178
89 89
1

Prime factors of 2848 are 2,89. Prime factorization of 2848 in exponential form is:

2848 = 25×891

Now multiplying the highest exponent prime factors to calculate the LCM of 2842 and 2848.

LCM(2842,2848) = 25×72×291×891
LCM(2842,2848) = 4047008

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 2848

List of positive integer factors of 2848 that divides 2848 without a remainder.

1, 2, 4, 8, 16, 32, 89, 178, 356, 712, 1424, 2848

Least Common Multiple of 2842 and 2848 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 2848, than apply into the LCM equation.

GCF(2842,2848) = 2
LCM(2842,2848) = ( 2842 × 2848) / 2
LCM(2842,2848) = 8094016 / 2
LCM(2842,2848) = 4047008

Properties of LCM 2842 and 2848

(i) The LCM of 2848 and 2842 is associative

LCM of 2842 and 2848 = LCM of 2848 and 2842

Related Least Common Multiples of 2842

Related Least Common Multiples of 2848

Frequently Asked Questions on LCM of 2842 and 2848

1. What is the LCM of 2842 and 2848?

Answer: LCM of 2842 and 2848 is 4047008.

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 2848?

Answer: Factors of 2848 are 1, 2, 4, 8, 16, 32, 89, 178, 356, 712, 1424, 2848. There are 12 integers that are factors of 2848. The greatest factor of 2848 is 2848.

4. How to Find the LCM of 2842 and 2848?

Answer:

Least Common Multiple of 2842 and 2848 = 4047008

Step 1: Find the prime factorization of 2842

2842 = 2 x 7 x 7 x 29

Step 2: Find the prime factorization of 2848

2848 = 2 x 2 x 2 x 2 x 2 x 89

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

LCM = 4047008 = 2 x 2 x 2 x 2 x 2 x 7 x 7 x 29 x 89

Step 4: Therefore, the least common multiple of 2842 and 2848 is 4047008.