Least Common Multiple of 8810 and 8818

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8810 and 8818 the smallest integer that is 38843290 that is divisible by both numbers.

Least Common Multiple (LCM) of 8810 and 8818 is 38843290.

LCM(8810,8818) = 38843290

LCM of 8810 and 8818

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

LCM of:
and

Least Common Multiple of 8810 and 8818

LCM of 8810 and 8818 is 38843290

Least common multiple can be found by multiplying the highest exponent prime factors of 8810 and 8818. First we will calculate the prime factors of 8810 and 8818.

Prime Factorization of 8810


2 8810
5 4405
881 881
1

Prime factors of 8810 are 2, 5,881. Prime factorization of 8810 in exponential form is:

8810 = 21×51×8811

Prime Factorization of 8818


2 8818
4409 4409
1

Prime factors of 8818 are 2,4409. Prime factorization of 8818 in exponential form is:

8818 = 21×44091

Now multiplying the highest exponent prime factors to calculate the LCM of 8810 and 8818.

LCM(8810,8818) = 21×51×8811×44091
LCM(8810,8818) = 38843290

Factors of 8810

List of positive integer factors of 8810 that divides 8810 without a remainder.

1, 2, 5, 10, 881, 1762, 4405, 8810

Factors of 8818

List of positive integer factors of 8818 that divides 8818 without a remainder.

1, 2, 4409, 8818

Least Common Multiple of 8810 and 8818 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8810 and 8818, than apply into the LCM equation.

GCF(8810,8818) = 2
LCM(8810,8818) = ( 8810 × 8818) / 2
LCM(8810,8818) = 77686580 / 2
LCM(8810,8818) = 38843290

Properties of LCM 8810 and 8818

(i) The LCM of 8818 and 8810 is associative

LCM of 8810 and 8818 = LCM of 8818 and 8810

Related Least Common Multiples of 8810

Related Least Common Multiples of 8818

Frequently Asked Questions on LCM of 8810 and 8818

1. What is the LCM of 8810 and 8818?

Answer: LCM of 8810 and 8818 is 38843290.

2. What are the Factors of 8810?

Answer: Factors of 8810 are 1, 2, 5, 10, 881, 1762, 4405, 8810. There are 8 integers that are factors of 8810. The greatest factor of 8810 is 8810.

3. What are the Factors of 8818?

Answer: Factors of 8818 are 1, 2, 4409, 8818. There are 4 integers that are factors of 8818. The greatest factor of 8818 is 8818.

4. How to Find the LCM of 8810 and 8818?

Answer:

Least Common Multiple of 8810 and 8818 = 38843290

Step 1: Find the prime factorization of 8810

8810 = 2 x 5 x 881

Step 2: Find the prime factorization of 8818

8818 = 2 x 4409

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

LCM = 38843290 = 2 x 5 x 881 x 4409

Step 4: Therefore, the least common multiple of 8810 and 8818 is 38843290.