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 8818 the smallest integer that is 77713034 that is divisible by both numbers.
Least Common Multiple (LCM) of 8813 and 8818 is 77713034.
LCM(8813,8818) = 77713034
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 8818. First we will calculate the prime factors of 8813 and 8818.
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 8818
2 | 8818 |
4409 | 4409 |
1 |
Prime factors of 8818 are 2,4409. Prime factorization of 8818 in exponential form is:
8818 = 21×44091
Now multiplying the highest exponent prime factors to calculate the LCM of 8813 and 8818.
LCM(8813,8818) = 21×71×12591×44091
LCM(8813,8818) = 77713034
Factors of 8813
List of positive integer factors of 8813 that divides 8813 without a remainder.
1, 7, 1259, 8813
Factors of 8818
List of positive integer factors of 8818 that divides 8818 without a remainder.
1, 2, 4409, 8818
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8813 and 8818, than apply into the LCM equation.
GCF(8813,8818) = 1
LCM(8813,8818) = ( 8813 × 8818) / 1
LCM(8813,8818) = 77713034 / 1
LCM(8813,8818) = 77713034
(i) The LCM of 8818 and 8813 is associative
LCM of 8813 and 8818 = LCM of 8818 and 8813
1. What is the LCM of 8813 and 8818?
Answer: LCM of 8813 and 8818 is 77713034.
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 8818?
Answer: Factors of 8818 are 1, 2, 4409, 8818. There are 4 integers that are factors of 8818. The greatest factor of 8818 is 8818.
4. How to Find the LCM of 8813 and 8818?
Answer:
Least Common Multiple of 8813 and 8818 = 77713034
Step 1: Find the prime factorization of 8813
8813 = 7 x 1259
Step 2: Find the prime factorization of 8818
8818 = 2 x 4409
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 77713034 = 2 x 7 x 1259 x 4409
Step 4: Therefore, the least common multiple of 8813 and 8818 is 77713034.