Least Common Multiple of 2810 and 2816

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2810 and 2816 the smallest integer that is 3956480 that is divisible by both numbers.

Least Common Multiple (LCM) of 2810 and 2816 is 3956480.

LCM(2810,2816) = 3956480

LCM of 2810 and 2816

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

LCM of:
and

Least Common Multiple of 2810 and 2816

LCM of 2810 and 2816 is 3956480

Least common multiple can be found by multiplying the highest exponent prime factors of 2810 and 2816. First we will calculate the prime factors of 2810 and 2816.

Prime Factorization of 2810


2 2810
5 1405
281 281
1

Prime factors of 2810 are 2, 5,281. Prime factorization of 2810 in exponential form is:

2810 = 21×51×2811

Prime Factorization of 2816


2 2816
2 1408
2 704
2 352
2 176
2 88
2 44
2 22
11 11
1

Prime factors of 2816 are 2,11. Prime factorization of 2816 in exponential form is:

2816 = 28×111

Now multiplying the highest exponent prime factors to calculate the LCM of 2810 and 2816.

LCM(2810,2816) = 28×51×111×2811
LCM(2810,2816) = 3956480

Factors of 2810

List of positive integer factors of 2810 that divides 2810 without a remainder.

1, 2, 5, 10, 281, 562, 1405, 2810

Factors of 2816

List of positive integer factors of 2816 that divides 2816 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 128, 176, 256, 352, 704, 1408, 2816

Least Common Multiple of 2810 and 2816 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2810 and 2816, than apply into the LCM equation.

GCF(2810,2816) = 2
LCM(2810,2816) = ( 2810 × 2816) / 2
LCM(2810,2816) = 7912960 / 2
LCM(2810,2816) = 3956480

Properties of LCM 2810 and 2816

(i) The LCM of 2816 and 2810 is associative

LCM of 2810 and 2816 = LCM of 2816 and 2810

Related Least Common Multiples of 2810

Related Least Common Multiples of 2816

Frequently Asked Questions on LCM of 2810 and 2816

1. What is the LCM of 2810 and 2816?

Answer: LCM of 2810 and 2816 is 3956480.

2. What are the Factors of 2810?

Answer: Factors of 2810 are 1, 2, 5, 10, 281, 562, 1405, 2810. There are 8 integers that are factors of 2810. The greatest factor of 2810 is 2810.

3. What are the Factors of 2816?

Answer: Factors of 2816 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 128, 176, 256, 352, 704, 1408, 2816. There are 18 integers that are factors of 2816. The greatest factor of 2816 is 2816.

4. How to Find the LCM of 2810 and 2816?

Answer:

Least Common Multiple of 2810 and 2816 = 3956480

Step 1: Find the prime factorization of 2810

2810 = 2 x 5 x 281

Step 2: Find the prime factorization of 2816

2816 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 11

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

LCM = 3956480 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 11 x 281

Step 4: Therefore, the least common multiple of 2810 and 2816 is 3956480.