Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9809 and 9814 the smallest integer that is 96265526 that is divisible by both numbers.
Least Common Multiple (LCM) of 9809 and 9814 is 96265526.
LCM(9809,9814) = 96265526
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 9809 and 9814. First we will calculate the prime factors of 9809 and 9814.
Prime Factorization of 9809
17 | 9809 |
577 | 577 |
1 |
Prime factors of 9809 are 17,577. Prime factorization of 9809 in exponential form is:
9809 = 171×5771
Prime Factorization of 9814
2 | 9814 |
7 | 4907 |
701 | 701 |
1 |
Prime factors of 9814 are 2, 7,701. Prime factorization of 9814 in exponential form is:
9814 = 21×71×7011
Now multiplying the highest exponent prime factors to calculate the LCM of 9809 and 9814.
LCM(9809,9814) = 21×71×171×5771×7011
LCM(9809,9814) = 96265526
Factors of 9809
List of positive integer factors of 9809 that divides 9809 without a remainder.
1, 17, 577, 9809
Factors of 9814
List of positive integer factors of 9814 that divides 9814 without a remainder.
1, 2, 7, 14, 701, 1402, 4907, 9814
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9809 and 9814, than apply into the LCM equation.
GCF(9809,9814) = 1
LCM(9809,9814) = ( 9809 × 9814) / 1
LCM(9809,9814) = 96265526 / 1
LCM(9809,9814) = 96265526
(i) The LCM of 9814 and 9809 is associative
LCM of 9809 and 9814 = LCM of 9814 and 9809
1. What is the LCM of 9809 and 9814?
Answer: LCM of 9809 and 9814 is 96265526.
2. What are the Factors of 9809?
Answer: Factors of 9809 are 1, 17, 577, 9809. There are 4 integers that are factors of 9809. The greatest factor of 9809 is 9809.
3. What are the Factors of 9814?
Answer: Factors of 9814 are 1, 2, 7, 14, 701, 1402, 4907, 9814. There are 8 integers that are factors of 9814. The greatest factor of 9814 is 9814.
4. How to Find the LCM of 9809 and 9814?
Answer:
Least Common Multiple of 9809 and 9814 = 96265526
Step 1: Find the prime factorization of 9809
9809 = 17 x 577
Step 2: Find the prime factorization of 9814
9814 = 2 x 7 x 701
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 96265526 = 2 x 7 x 17 x 577 x 701
Step 4: Therefore, the least common multiple of 9809 and 9814 is 96265526.