Least Common Multiple of 2810 and 2818

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 2818 the smallest integer that is 3959290 that is divisible by both numbers.

Least Common Multiple (LCM) of 2810 and 2818 is 3959290.

LCM(2810,2818) = 3959290

LCM of 2810 and 2818

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

LCM of:
and

Least Common Multiple of 2810 and 2818

LCM of 2810 and 2818 is 3959290

Least common multiple can be found by multiplying the highest exponent prime factors of 2810 and 2818. First we will calculate the prime factors of 2810 and 2818.

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 2818


2 2818
1409 1409
1

Prime factors of 2818 are 2,1409. Prime factorization of 2818 in exponential form is:

2818 = 21×14091

Now multiplying the highest exponent prime factors to calculate the LCM of 2810 and 2818.

LCM(2810,2818) = 21×51×2811×14091
LCM(2810,2818) = 3959290

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 2818

List of positive integer factors of 2818 that divides 2818 without a remainder.

1, 2, 1409, 2818

Least Common Multiple of 2810 and 2818 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 2818, than apply into the LCM equation.

GCF(2810,2818) = 2
LCM(2810,2818) = ( 2810 × 2818) / 2
LCM(2810,2818) = 7918580 / 2
LCM(2810,2818) = 3959290

Properties of LCM 2810 and 2818

(i) The LCM of 2818 and 2810 is associative

LCM of 2810 and 2818 = LCM of 2818 and 2810

Related Least Common Multiples of 2810

Related Least Common Multiples of 2818

Frequently Asked Questions on LCM of 2810 and 2818

1. What is the LCM of 2810 and 2818?

Answer: LCM of 2810 and 2818 is 3959290.

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 2818?

Answer: Factors of 2818 are 1, 2, 1409, 2818. There are 4 integers that are factors of 2818. The greatest factor of 2818 is 2818.

4. How to Find the LCM of 2810 and 2818?

Answer:

Least Common Multiple of 2810 and 2818 = 3959290

Step 1: Find the prime factorization of 2810

2810 = 2 x 5 x 281

Step 2: Find the prime factorization of 2818

2818 = 2 x 1409

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

LCM = 3959290 = 2 x 5 x 281 x 1409

Step 4: Therefore, the least common multiple of 2810 and 2818 is 3959290.