Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8698 and 8699 the smallest integer that is 75663902 that is divisible by both numbers.
Least Common Multiple (LCM) of 8698 and 8699 is 75663902.
LCM(8698,8699) = 75663902
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 8698 and 8699. First we will calculate the prime factors of 8698 and 8699.
Prime Factorization of 8698
2 | 8698 |
4349 | 4349 |
1 |
Prime factors of 8698 are 2,4349. Prime factorization of 8698 in exponential form is:
8698 = 21×43491
Prime Factorization of 8699
8699 | 8699 |
1 |
Prime factors of 8699 are 8699. Prime factorization of 8699 in exponential form is:
8699 = 86991
Now multiplying the highest exponent prime factors to calculate the LCM of 8698 and 8699.
LCM(8698,8699) = 21×43491×86991
LCM(8698,8699) = 75663902
Factors of 8698
List of positive integer factors of 8698 that divides 8698 without a remainder.
1, 2, 4349, 8698
Factors of 8699
List of positive integer factors of 8699 that divides 8699 without a remainder.
1, 8699
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8698 and 8699, than apply into the LCM equation.
GCF(8698,8699) = 1
LCM(8698,8699) = ( 8698 × 8699) / 1
LCM(8698,8699) = 75663902 / 1
LCM(8698,8699) = 75663902
(i) The LCM of 8699 and 8698 is associative
LCM of 8698 and 8699 = LCM of 8699 and 8698
1. What is the LCM of 8698 and 8699?
Answer: LCM of 8698 and 8699 is 75663902.
2. What are the Factors of 8698?
Answer: Factors of 8698 are 1, 2, 4349, 8698. There are 4 integers that are factors of 8698. The greatest factor of 8698 is 8698.
3. What are the Factors of 8699?
Answer: Factors of 8699 are 1, 8699. There are 2 integers that are factors of 8699. The greatest factor of 8699 is 8699.
4. How to Find the LCM of 8698 and 8699?
Answer:
Least Common Multiple of 8698 and 8699 = 75663902
Step 1: Find the prime factorization of 8698
8698 = 2 x 4349
Step 2: Find the prime factorization of 8699
8699 = 8699
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 75663902 = 2 x 4349 x 8699
Step 4: Therefore, the least common multiple of 8698 and 8699 is 75663902.