Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8795 and 8803 the smallest integer that is 77422385 that is divisible by both numbers.
Least Common Multiple (LCM) of 8795 and 8803 is 77422385.
LCM(8795,8803) = 77422385
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 8795 and 8803. First we will calculate the prime factors of 8795 and 8803.
Prime Factorization of 8795
5 | 8795 |
1759 | 1759 |
1 |
Prime factors of 8795 are 5,1759. Prime factorization of 8795 in exponential form is:
8795 = 51×17591
Prime Factorization of 8803
8803 | 8803 |
1 |
Prime factors of 8803 are 8803. Prime factorization of 8803 in exponential form is:
8803 = 88031
Now multiplying the highest exponent prime factors to calculate the LCM of 8795 and 8803.
LCM(8795,8803) = 51×17591×88031
LCM(8795,8803) = 77422385
Factors of 8795
List of positive integer factors of 8795 that divides 8795 without a remainder.
1, 5, 1759, 8795
Factors of 8803
List of positive integer factors of 8803 that divides 8803 without a remainder.
1, 8803
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8795 and 8803, than apply into the LCM equation.
GCF(8795,8803) = 1
LCM(8795,8803) = ( 8795 × 8803) / 1
LCM(8795,8803) = 77422385 / 1
LCM(8795,8803) = 77422385
(i) The LCM of 8803 and 8795 is associative
LCM of 8795 and 8803 = LCM of 8803 and 8795
1. What is the LCM of 8795 and 8803?
Answer: LCM of 8795 and 8803 is 77422385.
2. What are the Factors of 8795?
Answer: Factors of 8795 are 1, 5, 1759, 8795. There are 4 integers that are factors of 8795. The greatest factor of 8795 is 8795.
3. What are the Factors of 8803?
Answer: Factors of 8803 are 1, 8803. There are 2 integers that are factors of 8803. The greatest factor of 8803 is 8803.
4. How to Find the LCM of 8795 and 8803?
Answer:
Least Common Multiple of 8795 and 8803 = 77422385
Step 1: Find the prime factorization of 8795
8795 = 5 x 1759
Step 2: Find the prime factorization of 8803
8803 = 8803
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 77422385 = 5 x 1759 x 8803
Step 4: Therefore, the least common multiple of 8795 and 8803 is 77422385.