Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8801 and 8807 the smallest integer that is 77510407 that is divisible by both numbers.
Least Common Multiple (LCM) of 8801 and 8807 is 77510407.
LCM(8801,8807) = 77510407
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 8801 and 8807. First we will calculate the prime factors of 8801 and 8807.
Prime Factorization of 8801
13 | 8801 |
677 | 677 |
1 |
Prime factors of 8801 are 13,677. Prime factorization of 8801 in exponential form is:
8801 = 131×6771
Prime Factorization of 8807
8807 | 8807 |
1 |
Prime factors of 8807 are 8807. Prime factorization of 8807 in exponential form is:
8807 = 88071
Now multiplying the highest exponent prime factors to calculate the LCM of 8801 and 8807.
LCM(8801,8807) = 131×6771×88071
LCM(8801,8807) = 77510407
Factors of 8801
List of positive integer factors of 8801 that divides 8801 without a remainder.
1, 13, 677, 8801
Factors of 8807
List of positive integer factors of 8807 that divides 8807 without a remainder.
1, 8807
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8801 and 8807, than apply into the LCM equation.
GCF(8801,8807) = 1
LCM(8801,8807) = ( 8801 × 8807) / 1
LCM(8801,8807) = 77510407 / 1
LCM(8801,8807) = 77510407
(i) The LCM of 8807 and 8801 is associative
LCM of 8801 and 8807 = LCM of 8807 and 8801
1. What is the LCM of 8801 and 8807?
Answer: LCM of 8801 and 8807 is 77510407.
2. What are the Factors of 8801?
Answer: Factors of 8801 are 1, 13, 677, 8801. There are 4 integers that are factors of 8801. The greatest factor of 8801 is 8801.
3. 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.
4. How to Find the LCM of 8801 and 8807?
Answer:
Least Common Multiple of 8801 and 8807 = 77510407
Step 1: Find the prime factorization of 8801
8801 = 13 x 677
Step 2: Find the prime factorization of 8807
8807 = 8807
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 77510407 = 13 x 677 x 8807
Step 4: Therefore, the least common multiple of 8801 and 8807 is 77510407.