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 8819 the smallest integer that is 77721847 that is divisible by both numbers.
Least Common Multiple (LCM) of 8813 and 8819 is 77721847.
LCM(8813,8819) = 77721847
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 8813 and 8819. First we will calculate the prime factors of 8813 and 8819.
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 8819
8819 | 8819 |
1 |
Prime factors of 8819 are 8819. Prime factorization of 8819 in exponential form is:
8819 = 88191
Now multiplying the highest exponent prime factors to calculate the LCM of 8813 and 8819.
LCM(8813,8819) = 71×12591×88191
LCM(8813,8819) = 77721847
Factors of 8813
List of positive integer factors of 8813 that divides 8813 without a remainder.
1, 7, 1259, 8813
Factors of 8819
List of positive integer factors of 8819 that divides 8819 without a remainder.
1, 8819
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8813 and 8819, than apply into the LCM equation.
GCF(8813,8819) = 1
LCM(8813,8819) = ( 8813 × 8819) / 1
LCM(8813,8819) = 77721847 / 1
LCM(8813,8819) = 77721847
(i) The LCM of 8819 and 8813 is associative
LCM of 8813 and 8819 = LCM of 8819 and 8813
1. What is the LCM of 8813 and 8819?
Answer: LCM of 8813 and 8819 is 77721847.
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 8819?
Answer: Factors of 8819 are 1, 8819. There are 2 integers that are factors of 8819. The greatest factor of 8819 is 8819.
4. How to Find the LCM of 8813 and 8819?
Answer:
Least Common Multiple of 8813 and 8819 = 77721847
Step 1: Find the prime factorization of 8813
8813 = 7 x 1259
Step 2: Find the prime factorization of 8819
8819 = 8819
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 77721847 = 7 x 1259 x 8819
Step 4: Therefore, the least common multiple of 8813 and 8819 is 77721847.