Least Common Multiple of 33157 and 33165
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 33157 and 33165 the smallest integer that is 1099651905 that is divisible by both numbers.
Least Common Multiple (LCM) of 33157 and 33165 is 1099651905.
LCM(33157,33165) = 1099651905
LCM of 33157 and 33165
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 33157 and 33165 by Prime method
- Least Common Multiple of 33157 and 33165 with GCF Formula
LCM of 33157 and 33165 is 1099651905
Least common multiple can be found by multiplying the highest exponent prime factors of 33157 and 33165. First we will calculate the prime factors of 33157 and 33165.
Prime Factorization of 33157
| 71 | 33157 |
| 467 | 467 |
| 1 |
Prime factors of 33157 are 71,467. Prime factorization of 33157 in exponential form is:
33157 = 711×4671
Prime Factorization of 33165
| 3 | 33165 |
| 3 | 11055 |
| 5 | 3685 |
| 11 | 737 |
| 67 | 67 |
| 1 |
Prime factors of 33165 are 3, 5, 11,67. Prime factorization of 33165 in exponential form is:
33165 = 32×51×111×671
Now multiplying the highest exponent prime factors to calculate the LCM of 33157 and 33165.
LCM(33157,33165) = 32×51×111×671×711×4671
LCM(33157,33165) = 1099651905
Factors of 33157
List of positive integer factors of 33157 that divides 33157 without a remainder.
1, 71, 467, 33157
Factors of 33165
List of positive integer factors of 33165 that divides 33165 without a remainder.
1, 3, 5, 9, 11, 15, 33, 45, 55, 67, 99, 165, 201, 335, 495, 603, 737, 1005, 2211, 3015, 3685, 6633, 11055, 33165
Least Common Multiple of 33157 and 33165 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33157 and 33165, than apply into the LCM equation.
GCF(33157,33165) = 1
LCM(33157,33165) = ( 33157 × 33165) / 1
LCM(33157,33165) = 1099651905 / 1
LCM(33157,33165) = 1099651905
Properties of LCM 33157 and 33165
(i) The LCM of 33165 and 33157 is associative
LCM of 33157 and 33165 = LCM of 33165 and 33157
Related Least Common Multiples of 33157
Related Least Common Multiples of 33165
Frequently Asked Questions on LCM of 33157 and 33165
1. What is the LCM of 33157 and 33165?
Answer: LCM of 33157 and 33165 is 1099651905.
2. What are the Factors of 33157?
Answer: Factors of 33157 are 1, 71, 467, 33157. There are 4 integers that are factors of 33157. The greatest factor of 33157 is 33157.
3. What are the Factors of 33165?
Answer: Factors of 33165 are 1, 3, 5, 9, 11, 15, 33, 45, 55, 67, 99, 165, 201, 335, 495, 603, 737, 1005, 2211, 3015, 3685, 6633, 11055, 33165. There are 24 integers that are factors of 33165. The greatest factor of 33165 is 33165.
4. How to Find the LCM of 33157 and 33165?
Answer:
Least Common Multiple of 33157 and 33165 = 1099651905
Step 1: Find the prime factorization of 33157
33157 = 71 x 467
Step 2: Find the prime factorization of 33165
33165 = 3 x 3 x 5 x 11 x 67
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1099651905 = 3 x 3 x 5 x 11 x 67 x 71 x 467
Step 4: Therefore, the least common multiple of 33157 and 33165 is 1099651905.