Least Common Multiple of 17231 and 17236
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 17231 and 17236 the smallest integer that is 296993516 that is divisible by both numbers.
Least Common Multiple (LCM) of 17231 and 17236 is 296993516.
LCM(17231,17236) = 296993516
LCM of 17231 and 17236
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 17231 and 17236 by Prime method
- Least Common Multiple of 17231 and 17236 with GCF Formula
LCM of 17231 and 17236 is 296993516
Least common multiple can be found by multiplying the highest exponent prime factors of 17231 and 17236. First we will calculate the prime factors of 17231 and 17236.
Prime Factorization of 17231
| 17231 | 17231 |
| 1 |
Prime factors of 17231 are 17231. Prime factorization of 17231 in exponential form is:
17231 = 172311
Prime Factorization of 17236
| 2 | 17236 |
| 2 | 8618 |
| 31 | 4309 |
| 139 | 139 |
| 1 |
Prime factors of 17236 are 2, 31,139. Prime factorization of 17236 in exponential form is:
17236 = 22×311×1391
Now multiplying the highest exponent prime factors to calculate the LCM of 17231 and 17236.
LCM(17231,17236) = 22×311×1391×172311
LCM(17231,17236) = 296993516
Factors of 17231
List of positive integer factors of 17231 that divides 17231 without a remainder.
1, 17231
Factors of 17236
List of positive integer factors of 17236 that divides 17236 without a remainder.
1, 2, 4, 31, 62, 124, 139, 278, 556, 4309, 8618, 17236
Least Common Multiple of 17231 and 17236 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17231 and 17236, than apply into the LCM equation.
GCF(17231,17236) = 1
LCM(17231,17236) = ( 17231 × 17236) / 1
LCM(17231,17236) = 296993516 / 1
LCM(17231,17236) = 296993516
Properties of LCM 17231 and 17236
(i) The LCM of 17236 and 17231 is associative
LCM of 17231 and 17236 = LCM of 17236 and 17231
Related Least Common Multiples of 17231
Related Least Common Multiples of 17236
Frequently Asked Questions on LCM of 17231 and 17236
1. What is the LCM of 17231 and 17236?
Answer: LCM of 17231 and 17236 is 296993516.
2. What are the Factors of 17231?
Answer: Factors of 17231 are 1, 17231. There are 2 integers that are factors of 17231. The greatest factor of 17231 is 17231.
3. What are the Factors of 17236?
Answer: Factors of 17236 are 1, 2, 4, 31, 62, 124, 139, 278, 556, 4309, 8618, 17236. There are 12 integers that are factors of 17236. The greatest factor of 17236 is 17236.
4. How to Find the LCM of 17231 and 17236?
Answer:
Least Common Multiple of 17231 and 17236 = 296993516
Step 1: Find the prime factorization of 17231
17231 = 17231
Step 2: Find the prime factorization of 17236
17236 = 2 x 2 x 31 x 139
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 296993516 = 2 x 2 x 31 x 139 x 17231
Step 4: Therefore, the least common multiple of 17231 and 17236 is 296993516.