Least Common Multiple of 35165 and 35171
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 35165 and 35171 the smallest integer that is 1236788215 that is divisible by both numbers.
Least Common Multiple (LCM) of 35165 and 35171 is 1236788215.
LCM(35165,35171) = 1236788215
LCM of 35165 and 35171
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 35165 and 35171 by Prime method
- Least Common Multiple of 35165 and 35171 with GCF Formula
LCM of 35165 and 35171 is 1236788215
Least common multiple can be found by multiplying the highest exponent prime factors of 35165 and 35171. First we will calculate the prime factors of 35165 and 35171.
Prime Factorization of 35165
| 5 | 35165 |
| 13 | 7033 |
| 541 | 541 |
| 1 |
Prime factors of 35165 are 5, 13,541. Prime factorization of 35165 in exponential form is:
35165 = 51×131×5411
Prime Factorization of 35171
| 35171 | 35171 |
| 1 |
Prime factors of 35171 are 35171. Prime factorization of 35171 in exponential form is:
35171 = 351711
Now multiplying the highest exponent prime factors to calculate the LCM of 35165 and 35171.
LCM(35165,35171) = 51×131×5411×351711
LCM(35165,35171) = 1236788215
Factors of 35165
List of positive integer factors of 35165 that divides 35165 without a remainder.
1, 5, 13, 65, 541, 2705, 7033, 35165
Factors of 35171
List of positive integer factors of 35171 that divides 35171 without a remainder.
1, 35171
Least Common Multiple of 35165 and 35171 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35165 and 35171, than apply into the LCM equation.
GCF(35165,35171) = 1
LCM(35165,35171) = ( 35165 × 35171) / 1
LCM(35165,35171) = 1236788215 / 1
LCM(35165,35171) = 1236788215
Properties of LCM 35165 and 35171
(i) The LCM of 35171 and 35165 is associative
LCM of 35165 and 35171 = LCM of 35171 and 35165
Related Least Common Multiples of 35165
Related Least Common Multiples of 35171
Frequently Asked Questions on LCM of 35165 and 35171
1. What is the LCM of 35165 and 35171?
Answer: LCM of 35165 and 35171 is 1236788215.
2. What are the Factors of 35165?
Answer: Factors of 35165 are 1, 5, 13, 65, 541, 2705, 7033, 35165. There are 8 integers that are factors of 35165. The greatest factor of 35165 is 35165.
3. What are the Factors of 35171?
Answer: Factors of 35171 are 1, 35171. There are 2 integers that are factors of 35171. The greatest factor of 35171 is 35171.
4. How to Find the LCM of 35165 and 35171?
Answer:
Least Common Multiple of 35165 and 35171 = 1236788215
Step 1: Find the prime factorization of 35165
35165 = 5 x 13 x 541
Step 2: Find the prime factorization of 35171
35171 = 35171
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1236788215 = 5 x 13 x 541 x 35171
Step 4: Therefore, the least common multiple of 35165 and 35171 is 1236788215.