Least Common Multiple of 9802 and 9803
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9802 and 9803 the smallest integer that is 96089006 that is divisible by both numbers.
Least Common Multiple (LCM) of 9802 and 9803 is 96089006.
LCM(9802,9803) = 96089006
LCM of 9802 and 9803
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9802 and 9803 by Prime method
- Least Common Multiple of 9802 and 9803 with GCF Formula
LCM of 9802 and 9803 is 96089006
Least common multiple can be found by multiplying the highest exponent prime factors of 9802 and 9803. First we will calculate the prime factors of 9802 and 9803.
Prime Factorization of 9802
| 2 | 9802 |
| 13 | 4901 |
| 13 | 377 |
| 29 | 29 |
| 1 |
Prime factors of 9802 are 2, 13,29. Prime factorization of 9802 in exponential form is:
9802 = 21×132×291
Prime Factorization of 9803
| 9803 | 9803 |
| 1 |
Prime factors of 9803 are 9803. Prime factorization of 9803 in exponential form is:
9803 = 98031
Now multiplying the highest exponent prime factors to calculate the LCM of 9802 and 9803.
LCM(9802,9803) = 21×132×291×98031
LCM(9802,9803) = 96089006
Factors of 9802
List of positive integer factors of 9802 that divides 9802 without a remainder.
1, 2, 13, 26, 29, 58, 169, 338, 377, 754, 4901, 9802
Factors of 9803
List of positive integer factors of 9803 that divides 9803 without a remainder.
1, 9803
Least Common Multiple of 9802 and 9803 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9802 and 9803, than apply into the LCM equation.
GCF(9802,9803) = 1
LCM(9802,9803) = ( 9802 × 9803) / 1
LCM(9802,9803) = 96089006 / 1
LCM(9802,9803) = 96089006
Properties of LCM 9802 and 9803
(i) The LCM of 9803 and 9802 is associative
LCM of 9802 and 9803 = LCM of 9803 and 9802
Related Least Common Multiples of 9802
Related Least Common Multiples of 9803
Frequently Asked Questions on LCM of 9802 and 9803
1. What is the LCM of 9802 and 9803?
Answer: LCM of 9802 and 9803 is 96089006.
2. What are the Factors of 9802?
Answer: Factors of 9802 are 1, 2, 13, 26, 29, 58, 169, 338, 377, 754, 4901, 9802. There are 12 integers that are factors of 9802. The greatest factor of 9802 is 9802.
3. What are the Factors of 9803?
Answer: Factors of 9803 are 1, 9803. There are 2 integers that are factors of 9803. The greatest factor of 9803 is 9803.
4. How to Find the LCM of 9802 and 9803?
Answer:
Least Common Multiple of 9802 and 9803 = 96089006
Step 1: Find the prime factorization of 9802
9802 = 2 x 13 x 13 x 29
Step 2: Find the prime factorization of 9803
9803 = 9803
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 96089006 = 2 x 13 x 13 x 29 x 9803
Step 4: Therefore, the least common multiple of 9802 and 9803 is 96089006.
