Least Common Multiple of 9198 and 9203
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9198 and 9203 the smallest integer that is 84649194 that is divisible by both numbers.
Least Common Multiple (LCM) of 9198 and 9203 is 84649194.
LCM(9198,9203) = 84649194
LCM of 9198 and 9203
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9198 and 9203 by Prime method
- Least Common Multiple of 9198 and 9203 with GCF Formula
LCM of 9198 and 9203 is 84649194
Least common multiple can be found by multiplying the highest exponent prime factors of 9198 and 9203. First we will calculate the prime factors of 9198 and 9203.
Prime Factorization of 9198
| 2 | 9198 |
| 3 | 4599 |
| 3 | 1533 |
| 7 | 511 |
| 73 | 73 |
| 1 |
Prime factors of 9198 are 2, 3, 7,73. Prime factorization of 9198 in exponential form is:
9198 = 21×32×71×731
Prime Factorization of 9203
| 9203 | 9203 |
| 1 |
Prime factors of 9203 are 9203. Prime factorization of 9203 in exponential form is:
9203 = 92031
Now multiplying the highest exponent prime factors to calculate the LCM of 9198 and 9203.
LCM(9198,9203) = 21×32×71×731×92031
LCM(9198,9203) = 84649194
Factors of 9198
List of positive integer factors of 9198 that divides 9198 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 73, 126, 146, 219, 438, 511, 657, 1022, 1314, 1533, 3066, 4599, 9198
Factors of 9203
List of positive integer factors of 9203 that divides 9203 without a remainder.
1, 9203
Least Common Multiple of 9198 and 9203 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9198 and 9203, than apply into the LCM equation.
GCF(9198,9203) = 1
LCM(9198,9203) = ( 9198 × 9203) / 1
LCM(9198,9203) = 84649194 / 1
LCM(9198,9203) = 84649194
Properties of LCM 9198 and 9203
(i) The LCM of 9203 and 9198 is associative
LCM of 9198 and 9203 = LCM of 9203 and 9198
Related Least Common Multiples of 9198
Related Least Common Multiples of 9203
Frequently Asked Questions on LCM of 9198 and 9203
1. What is the LCM of 9198 and 9203?
Answer: LCM of 9198 and 9203 is 84649194.
2. What are the Factors of 9198?
Answer: Factors of 9198 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 73, 126, 146, 219, 438, 511, 657, 1022, 1314, 1533, 3066, 4599, 9198. There are 24 integers that are factors of 9198. The greatest factor of 9198 is 9198.
3. What are the Factors of 9203?
Answer: Factors of 9203 are 1, 9203. There are 2 integers that are factors of 9203. The greatest factor of 9203 is 9203.
4. How to Find the LCM of 9198 and 9203?
Answer:
Least Common Multiple of 9198 and 9203 = 84649194
Step 1: Find the prime factorization of 9198
9198 = 2 x 3 x 3 x 7 x 73
Step 2: Find the prime factorization of 9203
9203 = 9203
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 84649194 = 2 x 3 x 3 x 7 x 73 x 9203
Step 4: Therefore, the least common multiple of 9198 and 9203 is 84649194.