Least Common Multiple of 33169 and 33177
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 33169 and 33177 the smallest integer that is 1100447913 that is divisible by both numbers.
Least Common Multiple (LCM) of 33169 and 33177 is 1100447913.
LCM(33169,33177) = 1100447913
LCM of 33169 and 33177
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 33169 and 33177 by Prime method
- Least Common Multiple of 33169 and 33177 with GCF Formula
LCM of 33169 and 33177 is 1100447913
Least common multiple can be found by multiplying the highest exponent prime factors of 33169 and 33177. First we will calculate the prime factors of 33169 and 33177.
Prime Factorization of 33169
| 41 | 33169 |
| 809 | 809 |
| 1 |
Prime factors of 33169 are 41,809. Prime factorization of 33169 in exponential form is:
33169 = 411×8091
Prime Factorization of 33177
| 3 | 33177 |
| 11059 | 11059 |
| 1 |
Prime factors of 33177 are 3,11059. Prime factorization of 33177 in exponential form is:
33177 = 31×110591
Now multiplying the highest exponent prime factors to calculate the LCM of 33169 and 33177.
LCM(33169,33177) = 31×411×8091×110591
LCM(33169,33177) = 1100447913
Factors of 33169
List of positive integer factors of 33169 that divides 33169 without a remainder.
1, 41, 809, 33169
Factors of 33177
List of positive integer factors of 33177 that divides 33177 without a remainder.
1, 3, 11059, 33177
Least Common Multiple of 33169 and 33177 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33169 and 33177, than apply into the LCM equation.
GCF(33169,33177) = 1
LCM(33169,33177) = ( 33169 × 33177) / 1
LCM(33169,33177) = 1100447913 / 1
LCM(33169,33177) = 1100447913
Properties of LCM 33169 and 33177
(i) The LCM of 33177 and 33169 is associative
LCM of 33169 and 33177 = LCM of 33177 and 33169
Related Least Common Multiples of 33169
Related Least Common Multiples of 33177
Frequently Asked Questions on LCM of 33169 and 33177
1. What is the LCM of 33169 and 33177?
Answer: LCM of 33169 and 33177 is 1100447913.
2. What are the Factors of 33169?
Answer: Factors of 33169 are 1, 41, 809, 33169. There are 4 integers that are factors of 33169. The greatest factor of 33169 is 33169.
3. What are the Factors of 33177?
Answer: Factors of 33177 are 1, 3, 11059, 33177. There are 4 integers that are factors of 33177. The greatest factor of 33177 is 33177.
4. How to Find the LCM of 33169 and 33177?
Answer:
Least Common Multiple of 33169 and 33177 = 1100447913
Step 1: Find the prime factorization of 33169
33169 = 41 x 809
Step 2: Find the prime factorization of 33177
33177 = 3 x 11059
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1100447913 = 3 x 41 x 809 x 11059
Step 4: Therefore, the least common multiple of 33169 and 33177 is 1100447913.