Least Common Multiple of 10153 and 10161
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10153 and 10161 the smallest integer that is 103164633 that is divisible by both numbers.
Least Common Multiple (LCM) of 10153 and 10161 is 103164633.
LCM(10153,10161) = 103164633
LCM of 10153 and 10161
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10153 and 10161 by Prime method
- Least Common Multiple of 10153 and 10161 with GCF Formula
LCM of 10153 and 10161 is 103164633
Least common multiple can be found by multiplying the highest exponent prime factors of 10153 and 10161. First we will calculate the prime factors of 10153 and 10161.
Prime Factorization of 10153
| 11 | 10153 |
| 13 | 923 |
| 71 | 71 |
| 1 |
Prime factors of 10153 are 11, 13,71. Prime factorization of 10153 in exponential form is:
10153 = 111×131×711
Prime Factorization of 10161
| 3 | 10161 |
| 3 | 3387 |
| 1129 | 1129 |
| 1 |
Prime factors of 10161 are 3,1129. Prime factorization of 10161 in exponential form is:
10161 = 32×11291
Now multiplying the highest exponent prime factors to calculate the LCM of 10153 and 10161.
LCM(10153,10161) = 32×111×131×711×11291
LCM(10153,10161) = 103164633
Factors of 10153
List of positive integer factors of 10153 that divides 10153 without a remainder.
1, 11, 13, 71, 143, 781, 923, 10153
Factors of 10161
List of positive integer factors of 10161 that divides 10161 without a remainder.
1, 3, 9, 1129, 3387, 10161
Least Common Multiple of 10153 and 10161 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10153 and 10161, than apply into the LCM equation.
GCF(10153,10161) = 1
LCM(10153,10161) = ( 10153 × 10161) / 1
LCM(10153,10161) = 103164633 / 1
LCM(10153,10161) = 103164633
Properties of LCM 10153 and 10161
(i) The LCM of 10161 and 10153 is associative
LCM of 10153 and 10161 = LCM of 10161 and 10153
Related Least Common Multiples of 10153
Related Least Common Multiples of 10161
Frequently Asked Questions on LCM of 10153 and 10161
1. What is the LCM of 10153 and 10161?
Answer: LCM of 10153 and 10161 is 103164633.
2. What are the Factors of 10153?
Answer: Factors of 10153 are 1, 11, 13, 71, 143, 781, 923, 10153. There are 8 integers that are factors of 10153. The greatest factor of 10153 is 10153.
3. What are the Factors of 10161?
Answer: Factors of 10161 are 1, 3, 9, 1129, 3387, 10161. There are 6 integers that are factors of 10161. The greatest factor of 10161 is 10161.
4. How to Find the LCM of 10153 and 10161?
Answer:
Least Common Multiple of 10153 and 10161 = 103164633
Step 1: Find the prime factorization of 10153
10153 = 11 x 13 x 71
Step 2: Find the prime factorization of 10161
10161 = 3 x 3 x 1129
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 103164633 = 3 x 3 x 11 x 13 x 71 x 1129
Step 4: Therefore, the least common multiple of 10153 and 10161 is 103164633.