Least Common Multiple of 8821 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 8821 and 8826 the smallest integer that is 77854146 that is divisible by both numbers.

Least Common Multiple (LCM) of 8821 and 8826 is 77854146.

LCM(8821,8826) = 77854146

LCM of 8821 and 8826

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

LCM of:
and

Least Common Multiple of 8821 and 8826

LCM of 8821 and 8826 is 77854146

Least common multiple can be found by multiplying the highest exponent prime factors of 8821 and 8826. First we will calculate the prime factors of 8821 and 8826.

Prime Factorization of 8821


8821 8821
1

Prime factors of 8821 are 8821. Prime factorization of 8821 in exponential form is:

8821 = 88211

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 8821 and 8826.

LCM(8821,8826) = 21×31×14711×88211
LCM(8821,8826) = 77854146

Factors of 8821

List of positive integer factors of 8821 that divides 8821 without a remainder.

1, 8821

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 8821 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 8821 and 8826, than apply into the LCM equation.

GCF(8821,8826) = 1
LCM(8821,8826) = ( 8821 × 8826) / 1
LCM(8821,8826) = 77854146 / 1
LCM(8821,8826) = 77854146

Properties of LCM 8821 and 8826

(i) The LCM of 8826 and 8821 is associative

LCM of 8821 and 8826 = LCM of 8826 and 8821

Related Least Common Multiples of 8821

Related Least Common Multiples of 8826

Frequently Asked Questions on LCM of 8821 and 8826

1. What is the LCM of 8821 and 8826?

Answer: LCM of 8821 and 8826 is 77854146.

2. What are the Factors of 8821?

Answer: Factors of 8821 are 1, 8821. There are 2 integers that are factors of 8821. The greatest factor of 8821 is 8821.

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 8821 and 8826?

Answer:

Least Common Multiple of 8821 and 8826 = 77854146

Step 1: Find the prime factorization of 8821

8821 = 8821

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 = 77854146 = 2 x 3 x 1471 x 8821

Step 4: Therefore, the least common multiple of 8821 and 8826 is 77854146.