Least Common Multiple of 2828 and 2835

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2828 and 2835 the smallest integer that is 1145340 that is divisible by both numbers.

Least Common Multiple (LCM) of 2828 and 2835 is 1145340.

LCM(2828,2835) = 1145340

LCM of 2828 and 2835

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

LCM of:
and

Least Common Multiple of 2828 and 2835

LCM of 2828 and 2835 is 1145340

Least common multiple can be found by multiplying the highest exponent prime factors of 2828 and 2835. First we will calculate the prime factors of 2828 and 2835.

Prime Factorization of 2828


2 2828
2 1414
7 707
101 101
1

Prime factors of 2828 are 2, 7,101. Prime factorization of 2828 in exponential form is:

2828 = 22×71×1011

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2828 and 2835.

LCM(2828,2835) = 22×34×51×71×1011
LCM(2828,2835) = 1145340

Factors of 2828

List of positive integer factors of 2828 that divides 2828 without a remainder.

1, 2, 4, 7, 14, 28, 101, 202, 404, 707, 1414, 2828

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

Least Common Multiple of 2828 and 2835 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2828 and 2835, than apply into the LCM equation.

GCF(2828,2835) = 7
LCM(2828,2835) = ( 2828 × 2835) / 7
LCM(2828,2835) = 8017380 / 7
LCM(2828,2835) = 1145340

Properties of LCM 2828 and 2835

(i) The LCM of 2835 and 2828 is associative

LCM of 2828 and 2835 = LCM of 2835 and 2828

Related Least Common Multiples of 2828

Related Least Common Multiples of 2835

Frequently Asked Questions on LCM of 2828 and 2835

1. What is the LCM of 2828 and 2835?

Answer: LCM of 2828 and 2835 is 1145340.

2. What are the Factors of 2828?

Answer: Factors of 2828 are 1, 2, 4, 7, 14, 28, 101, 202, 404, 707, 1414, 2828. There are 12 integers that are factors of 2828. The greatest factor of 2828 is 2828.

3. 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.

4. How to Find the LCM of 2828 and 2835?

Answer:

Least Common Multiple of 2828 and 2835 = 1145340

Step 1: Find the prime factorization of 2828

2828 = 2 x 2 x 7 x 101

Step 2: Find the prime factorization of 2835

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

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

LCM = 1145340 = 2 x 2 x 3 x 3 x 3 x 3 x 5 x 7 x 101

Step 4: Therefore, the least common multiple of 2828 and 2835 is 1145340.