Least Common Multiple of 9197 and 9202
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9197 and 9202 the smallest integer that is 84630794 that is divisible by both numbers.
Least Common Multiple (LCM) of 9197 and 9202 is 84630794.
LCM(9197,9202) = 84630794
LCM of 9197 and 9202
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9197 and 9202 by Prime method
- Least Common Multiple of 9197 and 9202 with GCF Formula
LCM of 9197 and 9202 is 84630794
Least common multiple can be found by multiplying the highest exponent prime factors of 9197 and 9202. First we will calculate the prime factors of 9197 and 9202.
Prime Factorization of 9197
| 17 | 9197 |
| 541 | 541 |
| 1 |
Prime factors of 9197 are 17,541. Prime factorization of 9197 in exponential form is:
9197 = 171×5411
Prime Factorization of 9202
| 2 | 9202 |
| 43 | 4601 |
| 107 | 107 |
| 1 |
Prime factors of 9202 are 2, 43,107. Prime factorization of 9202 in exponential form is:
9202 = 21×431×1071
Now multiplying the highest exponent prime factors to calculate the LCM of 9197 and 9202.
LCM(9197,9202) = 21×171×431×1071×5411
LCM(9197,9202) = 84630794
Factors of 9197
List of positive integer factors of 9197 that divides 9197 without a remainder.
1, 17, 541, 9197
Factors of 9202
List of positive integer factors of 9202 that divides 9202 without a remainder.
1, 2, 43, 86, 107, 214, 4601, 9202
Least Common Multiple of 9197 and 9202 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9197 and 9202, than apply into the LCM equation.
GCF(9197,9202) = 1
LCM(9197,9202) = ( 9197 × 9202) / 1
LCM(9197,9202) = 84630794 / 1
LCM(9197,9202) = 84630794
Properties of LCM 9197 and 9202
(i) The LCM of 9202 and 9197 is associative
LCM of 9197 and 9202 = LCM of 9202 and 9197
Related Least Common Multiples of 9197
Related Least Common Multiples of 9202
Frequently Asked Questions on LCM of 9197 and 9202
1. What is the LCM of 9197 and 9202?
Answer: LCM of 9197 and 9202 is 84630794.
2. What are the Factors of 9197?
Answer: Factors of 9197 are 1, 17, 541, 9197. There are 4 integers that are factors of 9197. The greatest factor of 9197 is 9197.
3. What are the Factors of 9202?
Answer: Factors of 9202 are 1, 2, 43, 86, 107, 214, 4601, 9202. There are 8 integers that are factors of 9202. The greatest factor of 9202 is 9202.
4. How to Find the LCM of 9197 and 9202?
Answer:
Least Common Multiple of 9197 and 9202 = 84630794
Step 1: Find the prime factorization of 9197
9197 = 17 x 541
Step 2: Find the prime factorization of 9202
9202 = 2 x 43 x 107
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 84630794 = 2 x 17 x 43 x 107 x 541
Step 4: Therefore, the least common multiple of 9197 and 9202 is 84630794.