Least Common Multiple of 8807 and 8813

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 8807 and 8813 the smallest integer that is 77616091 that is divisible by both numbers.

Least Common Multiple (LCM) of 8807 and 8813 is 77616091.

LCM(8807,8813) = 77616091

LCM of 8807 and 8813

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

LCM of:
and

Least Common Multiple of 8807 and 8813

LCM of 8807 and 8813 is 77616091

Least common multiple can be found by multiplying the highest exponent prime factors of 8807 and 8813. First we will calculate the prime factors of 8807 and 8813.

Prime Factorization of 8807


8807 8807
1

Prime factors of 8807 are 8807. Prime factorization of 8807 in exponential form is:

8807 = 88071

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8807 and 8813.

LCM(8807,8813) = 71×12591×88071
LCM(8807,8813) = 77616091

Factors of 8807

List of positive integer factors of 8807 that divides 8807 without a remainder.

1, 8807

Factors of 8813

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

1, 7, 1259, 8813

Least Common Multiple of 8807 and 8813 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8807 and 8813, than apply into the LCM equation.

GCF(8807,8813) = 1
LCM(8807,8813) = ( 8807 × 8813) / 1
LCM(8807,8813) = 77616091 / 1
LCM(8807,8813) = 77616091

Properties of LCM 8807 and 8813

(i) The LCM of 8813 and 8807 is associative

LCM of 8807 and 8813 = LCM of 8813 and 8807

Frequently Asked Questions on LCM of 8807 and 8813

1. What is the LCM of 8807 and 8813?

Answer: LCM of 8807 and 8813 is 77616091.

2. What are the Factors of 8807?

Answer: Factors of 8807 are 1, 8807. There are 2 integers that are factors of 8807. The greatest factor of 8807 is 8807.

3. 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.

4. How to Find the LCM of 8807 and 8813?

Answer:

Least Common Multiple of 8807 and 8813 = 77616091

Step 1: Find the prime factorization of 8807

8807 = 8807

Step 2: Find the prime factorization of 8813

8813 = 7 x 1259

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

LCM = 77616091 = 7 x 1259 x 8807

Step 4: Therefore, the least common multiple of 8807 and 8813 is 77616091.