Least Common Multiple of 17201 and 17207
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 17201 and 17207 the smallest integer that is 295977607 that is divisible by both numbers.
Least Common Multiple (LCM) of 17201 and 17207 is 295977607.
LCM(17201,17207) = 295977607
LCM of 17201 and 17207
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 17201 and 17207 by Prime method
- Least Common Multiple of 17201 and 17207 with GCF Formula
LCM of 17201 and 17207 is 295977607
Least common multiple can be found by multiplying the highest exponent prime factors of 17201 and 17207. First we will calculate the prime factors of 17201 and 17207.
Prime Factorization of 17201
| 103 | 17201 |
| 167 | 167 |
| 1 |
Prime factors of 17201 are 103,167. Prime factorization of 17201 in exponential form is:
17201 = 1031×1671
Prime Factorization of 17207
| 17207 | 17207 |
| 1 |
Prime factors of 17207 are 17207. Prime factorization of 17207 in exponential form is:
17207 = 172071
Now multiplying the highest exponent prime factors to calculate the LCM of 17201 and 17207.
LCM(17201,17207) = 1031×1671×172071
LCM(17201,17207) = 295977607
Factors of 17201
List of positive integer factors of 17201 that divides 17201 without a remainder.
1, 103, 167, 17201
Factors of 17207
List of positive integer factors of 17207 that divides 17207 without a remainder.
1, 17207
Least Common Multiple of 17201 and 17207 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17201 and 17207, than apply into the LCM equation.
GCF(17201,17207) = 1
LCM(17201,17207) = ( 17201 × 17207) / 1
LCM(17201,17207) = 295977607 / 1
LCM(17201,17207) = 295977607
Properties of LCM 17201 and 17207
(i) The LCM of 17207 and 17201 is associative
LCM of 17201 and 17207 = LCM of 17207 and 17201
Related Least Common Multiples of 17201
Related Least Common Multiples of 17207
Frequently Asked Questions on LCM of 17201 and 17207
1. What is the LCM of 17201 and 17207?
Answer: LCM of 17201 and 17207 is 295977607.
2. What are the Factors of 17201?
Answer: Factors of 17201 are 1, 103, 167, 17201. There are 4 integers that are factors of 17201. The greatest factor of 17201 is 17201.
3. What are the Factors of 17207?
Answer: Factors of 17207 are 1, 17207. There are 2 integers that are factors of 17207. The greatest factor of 17207 is 17207.
4. How to Find the LCM of 17201 and 17207?
Answer:
Least Common Multiple of 17201 and 17207 = 295977607
Step 1: Find the prime factorization of 17201
17201 = 103 x 167
Step 2: Find the prime factorization of 17207
17207 = 17207
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 295977607 = 103 x 167 x 17207
Step 4: Therefore, the least common multiple of 17201 and 17207 is 295977607.