Least Common Multiple of 8818 and 8823

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8818 and 8823 the smallest integer that is 77801214 that is divisible by both numbers.

Least Common Multiple (LCM) of 8818 and 8823 is 77801214.

LCM(8818,8823) = 77801214

LCM of 8818 and 8823

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

LCM of:
and

Least Common Multiple of 8818 and 8823

LCM of 8818 and 8823 is 77801214

Least common multiple can be found by multiplying the highest exponent prime factors of 8818 and 8823. First we will calculate the prime factors of 8818 and 8823.

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

Prime Factorization of 8823


3 8823
17 2941
173 173
1

Prime factors of 8823 are 3, 17,173. Prime factorization of 8823 in exponential form is:

8823 = 31×171×1731

Now multiplying the highest exponent prime factors to calculate the LCM of 8818 and 8823.

LCM(8818,8823) = 21×31×171×1731×44091
LCM(8818,8823) = 77801214

Factors of 8818

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

1, 2, 4409, 8818

Factors of 8823

List of positive integer factors of 8823 that divides 8823 without a remainder.

1, 3, 17, 51, 173, 519, 2941, 8823

Least Common Multiple of 8818 and 8823 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8818 and 8823, than apply into the LCM equation.

GCF(8818,8823) = 1
LCM(8818,8823) = ( 8818 × 8823) / 1
LCM(8818,8823) = 77801214 / 1
LCM(8818,8823) = 77801214

Properties of LCM 8818 and 8823

(i) The LCM of 8823 and 8818 is associative

LCM of 8818 and 8823 = LCM of 8823 and 8818

Related Least Common Multiples of 8818

Related Least Common Multiples of 8823

Frequently Asked Questions on LCM of 8818 and 8823

1. What is the LCM of 8818 and 8823?

Answer: LCM of 8818 and 8823 is 77801214.

2. 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.

3. What are the Factors of 8823?

Answer: Factors of 8823 are 1, 3, 17, 51, 173, 519, 2941, 8823. There are 8 integers that are factors of 8823. The greatest factor of 8823 is 8823.

4. How to Find the LCM of 8818 and 8823?

Answer:

Least Common Multiple of 8818 and 8823 = 77801214

Step 1: Find the prime factorization of 8818

8818 = 2 x 4409

Step 2: Find the prime factorization of 8823

8823 = 3 x 17 x 173

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

LCM = 77801214 = 2 x 3 x 17 x 173 x 4409

Step 4: Therefore, the least common multiple of 8818 and 8823 is 77801214.