Least Common Multiple of 8813 and 8821

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8813 and 8821 the smallest integer that is 77739473 that is divisible by both numbers.

Least Common Multiple (LCM) of 8813 and 8821 is 77739473.

LCM(8813,8821) = 77739473

LCM of 8813 and 8821

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

LCM of:
and

Least Common Multiple of 8813 and 8821

LCM of 8813 and 8821 is 77739473

Least common multiple can be found by multiplying the highest exponent prime factors of 8813 and 8821. First we will calculate the prime factors of 8813 and 8821.

Prime Factorization of 8813


7 8813
1259 1259
1

Prime factors of 8813 are 7,1259. Prime factorization of 8813 in exponential form is:

8813 = 71×12591

Prime Factorization of 8821


8821 8821
1

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

8821 = 88211

Now multiplying the highest exponent prime factors to calculate the LCM of 8813 and 8821.

LCM(8813,8821) = 71×12591×88211
LCM(8813,8821) = 77739473

Factors of 8813

List of positive integer factors of 8813 that divides 8813 without a remainder.

1, 7, 1259, 8813

Factors of 8821

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

1, 8821

Least Common Multiple of 8813 and 8821 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8813 and 8821, than apply into the LCM equation.

GCF(8813,8821) = 1
LCM(8813,8821) = ( 8813 × 8821) / 1
LCM(8813,8821) = 77739473 / 1
LCM(8813,8821) = 77739473

Properties of LCM 8813 and 8821

(i) The LCM of 8821 and 8813 is associative

LCM of 8813 and 8821 = LCM of 8821 and 8813

Related Least Common Multiples of 8813

Related Least Common Multiples of 8821

Frequently Asked Questions on LCM of 8813 and 8821

1. What is the LCM of 8813 and 8821?

Answer: LCM of 8813 and 8821 is 77739473.

2. What are the Factors of 8813?

Answer: Factors of 8813 are 1, 7, 1259, 8813. There are 4 integers that are factors of 8813. The greatest factor of 8813 is 8813.

3. 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.

4. How to Find the LCM of 8813 and 8821?

Answer:

Least Common Multiple of 8813 and 8821 = 77739473

Step 1: Find the prime factorization of 8813

8813 = 7 x 1259

Step 2: Find the prime factorization of 8821

8821 = 8821

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

LCM = 77739473 = 7 x 1259 x 8821

Step 4: Therefore, the least common multiple of 8813 and 8821 is 77739473.