Least Common Multiple of 2835 and 2840

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 2840 the smallest integer that is 1610280 that is divisible by both numbers.

Least Common Multiple (LCM) of 2835 and 2840 is 1610280.

LCM(2835,2840) = 1610280

LCM of 2835 and 2840

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

LCM of:
and

Least Common Multiple of 2835 and 2840

LCM of 2835 and 2840 is 1610280

Least common multiple can be found by multiplying the highest exponent prime factors of 2835 and 2840. First we will calculate the prime factors of 2835 and 2840.

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 2840


2 2840
2 1420
2 710
5 355
71 71
1

Prime factors of 2840 are 2, 5,71. Prime factorization of 2840 in exponential form is:

2840 = 23×51×711

Now multiplying the highest exponent prime factors to calculate the LCM of 2835 and 2840.

LCM(2835,2840) = 23×34×51×71×711
LCM(2835,2840) = 1610280

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 2840

List of positive integer factors of 2840 that divides 2840 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 71, 142, 284, 355, 568, 710, 1420, 2840

Least Common Multiple of 2835 and 2840 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 2840, than apply into the LCM equation.

GCF(2835,2840) = 5
LCM(2835,2840) = ( 2835 × 2840) / 5
LCM(2835,2840) = 8051400 / 5
LCM(2835,2840) = 1610280

Properties of LCM 2835 and 2840

(i) The LCM of 2840 and 2835 is associative

LCM of 2835 and 2840 = LCM of 2840 and 2835

Related Least Common Multiples of 2835

Related Least Common Multiples of 2840

Frequently Asked Questions on LCM of 2835 and 2840

1. What is the LCM of 2835 and 2840?

Answer: LCM of 2835 and 2840 is 1610280.

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 2840?

Answer: Factors of 2840 are 1, 2, 4, 5, 8, 10, 20, 40, 71, 142, 284, 355, 568, 710, 1420, 2840. There are 16 integers that are factors of 2840. The greatest factor of 2840 is 2840.

4. How to Find the LCM of 2835 and 2840?

Answer:

Least Common Multiple of 2835 and 2840 = 1610280

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 2840

2840 = 2 x 2 x 2 x 5 x 71

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

LCM = 1610280 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 7 x 71

Step 4: Therefore, the least common multiple of 2835 and 2840 is 1610280.