Least Common Multiple of 2835 and 2841

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2835 and 2841 the smallest integer that is 2684745 that is divisible by both numbers.

Least Common Multiple (LCM) of 2835 and 2841 is 2684745.

LCM(2835,2841) = 2684745

LCM of 2835 and 2841

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

LCM of:
and

Least Common Multiple of 2835 and 2841

LCM of 2835 and 2841 is 2684745

Least common multiple can be found by multiplying the highest exponent prime factors of 2835 and 2841. First we will calculate the prime factors of 2835 and 2841.

Prime Factorization of 2835


3 2835
3 945
3 315
3 105
5 35
7 7
1

Prime factors of 2835 are 3, 5,7. Prime factorization of 2835 in exponential form is:

2835 = 34×51×71

Prime Factorization of 2841


3 2841
947 947
1

Prime factors of 2841 are 3,947. Prime factorization of 2841 in exponential form is:

2841 = 31×9471

Now multiplying the highest exponent prime factors to calculate the LCM of 2835 and 2841.

LCM(2835,2841) = 34×51×71×9471
LCM(2835,2841) = 2684745

Factors of 2835

List of positive integer factors of 2835 that divides 2835 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 81, 105, 135, 189, 315, 405, 567, 945, 2835

Factors of 2841

List of positive integer factors of 2841 that divides 2841 without a remainder.

1, 3, 947, 2841

Least Common Multiple of 2835 and 2841 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2835 and 2841, than apply into the LCM equation.

GCF(2835,2841) = 3
LCM(2835,2841) = ( 2835 × 2841) / 3
LCM(2835,2841) = 8054235 / 3
LCM(2835,2841) = 2684745

Properties of LCM 2835 and 2841

(i) The LCM of 2841 and 2835 is associative

LCM of 2835 and 2841 = LCM of 2841 and 2835

Related Least Common Multiples of 2835

Related Least Common Multiples of 2841

Frequently Asked Questions on LCM of 2835 and 2841

1. What is the LCM of 2835 and 2841?

Answer: LCM of 2835 and 2841 is 2684745.

2. What are the Factors of 2835?

Answer: Factors of 2835 are 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 81, 105, 135, 189, 315, 405, 567, 945, 2835. There are 20 integers that are factors of 2835. The greatest factor of 2835 is 2835.

3. What are the Factors of 2841?

Answer: Factors of 2841 are 1, 3, 947, 2841. There are 4 integers that are factors of 2841. The greatest factor of 2841 is 2841.

4. How to Find the LCM of 2835 and 2841?

Answer:

Least Common Multiple of 2835 and 2841 = 2684745

Step 1: Find the prime factorization of 2835

2835 = 3 x 3 x 3 x 3 x 5 x 7

Step 2: Find the prime factorization of 2841

2841 = 3 x 947

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

LCM = 2684745 = 3 x 3 x 3 x 3 x 5 x 7 x 947

Step 4: Therefore, the least common multiple of 2835 and 2841 is 2684745.