Least Common Multiple of 8818 and 8826

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 8826 the smallest integer that is 38913834 that is divisible by both numbers.

Least Common Multiple (LCM) of 8818 and 8826 is 38913834.

LCM(8818,8826) = 38913834

LCM of 8818 and 8826

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

LCM of:
and

Least Common Multiple of 8818 and 8826

LCM of 8818 and 8826 is 38913834

Least common multiple can be found by multiplying the highest exponent prime factors of 8818 and 8826. First we will calculate the prime factors of 8818 and 8826.

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 8826


2 8826
3 4413
1471 1471
1

Prime factors of 8826 are 2, 3,1471. Prime factorization of 8826 in exponential form is:

8826 = 21×31×14711

Now multiplying the highest exponent prime factors to calculate the LCM of 8818 and 8826.

LCM(8818,8826) = 21×31×14711×44091
LCM(8818,8826) = 38913834

Factors of 8818

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

1, 2, 4409, 8818

Factors of 8826

List of positive integer factors of 8826 that divides 8826 without a remainder.

1, 2, 3, 6, 1471, 2942, 4413, 8826

Least Common Multiple of 8818 and 8826 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 8826, than apply into the LCM equation.

GCF(8818,8826) = 2
LCM(8818,8826) = ( 8818 × 8826) / 2
LCM(8818,8826) = 77827668 / 2
LCM(8818,8826) = 38913834

Properties of LCM 8818 and 8826

(i) The LCM of 8826 and 8818 is associative

LCM of 8818 and 8826 = LCM of 8826 and 8818

Related Least Common Multiples of 8818

Related Least Common Multiples of 8826

Frequently Asked Questions on LCM of 8818 and 8826

1. What is the LCM of 8818 and 8826?

Answer: LCM of 8818 and 8826 is 38913834.

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 8826?

Answer: Factors of 8826 are 1, 2, 3, 6, 1471, 2942, 4413, 8826. There are 8 integers that are factors of 8826. The greatest factor of 8826 is 8826.

4. How to Find the LCM of 8818 and 8826?

Answer:

Least Common Multiple of 8818 and 8826 = 38913834

Step 1: Find the prime factorization of 8818

8818 = 2 x 4409

Step 2: Find the prime factorization of 8826

8826 = 2 x 3 x 1471

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

LCM = 38913834 = 2 x 3 x 1471 x 4409

Step 4: Therefore, the least common multiple of 8818 and 8826 is 38913834.