Least Common Multiple of 10145 and 10153
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10145 and 10153 the smallest integer that is 103002185 that is divisible by both numbers.
Least Common Multiple (LCM) of 10145 and 10153 is 103002185.
LCM(10145,10153) = 103002185
LCM of 10145 and 10153
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10145 and 10153 by Prime method
- Least Common Multiple of 10145 and 10153 with GCF Formula
LCM of 10145 and 10153 is 103002185
Least common multiple can be found by multiplying the highest exponent prime factors of 10145 and 10153. First we will calculate the prime factors of 10145 and 10153.
Prime Factorization of 10145
| 5 | 10145 |
| 2029 | 2029 |
| 1 |
Prime factors of 10145 are 5,2029. Prime factorization of 10145 in exponential form is:
10145 = 51×20291
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
Now multiplying the highest exponent prime factors to calculate the LCM of 10145 and 10153.
LCM(10145,10153) = 51×111×131×711×20291
LCM(10145,10153) = 103002185
Factors of 10145
List of positive integer factors of 10145 that divides 10145 without a remainder.
1, 5, 2029, 10145
Factors of 10153
List of positive integer factors of 10153 that divides 10153 without a remainder.
1, 11, 13, 71, 143, 781, 923, 10153
Least Common Multiple of 10145 and 10153 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10145 and 10153, than apply into the LCM equation.
GCF(10145,10153) = 1
LCM(10145,10153) = ( 10145 × 10153) / 1
LCM(10145,10153) = 103002185 / 1
LCM(10145,10153) = 103002185
Properties of LCM 10145 and 10153
(i) The LCM of 10153 and 10145 is associative
LCM of 10145 and 10153 = LCM of 10153 and 10145
Related Least Common Multiples of 10145
Related Least Common Multiples of 10153
Frequently Asked Questions on LCM of 10145 and 10153
1. What is the LCM of 10145 and 10153?
Answer: LCM of 10145 and 10153 is 103002185.
2. What are the Factors of 10145?
Answer: Factors of 10145 are 1, 5, 2029, 10145. There are 4 integers that are factors of 10145. The greatest factor of 10145 is 10145.
3. 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.
4. How to Find the LCM of 10145 and 10153?
Answer:
Least Common Multiple of 10145 and 10153 = 103002185
Step 1: Find the prime factorization of 10145
10145 = 5 x 2029
Step 2: Find the prime factorization of 10153
10153 = 11 x 13 x 71
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 103002185 = 5 x 11 x 13 x 71 x 2029
Step 4: Therefore, the least common multiple of 10145 and 10153 is 103002185.