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
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
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
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
(i) The LCM of 8813 and 8807 is associative
LCM of 8807 and 8813 = LCM of 8813 and 8807
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.