Least Common Multiple of 10153 and 10159
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 10159 the smallest integer that is 103144327 that is divisible by both numbers.
Least Common Multiple (LCM) of 10153 and 10159 is 103144327.
LCM(10153,10159) = 103144327
LCM of 10153 and 10159
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10153 and 10159 by Prime method
- Least Common Multiple of 10153 and 10159 with GCF Formula
LCM of 10153 and 10159 is 103144327
Least common multiple can be found by multiplying the highest exponent prime factors of 10153 and 10159. First we will calculate the prime factors of 10153 and 10159.
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 10159
| 10159 | 10159 |
| 1 |
Prime factors of 10159 are 10159. Prime factorization of 10159 in exponential form is:
10159 = 101591
Now multiplying the highest exponent prime factors to calculate the LCM of 10153 and 10159.
LCM(10153,10159) = 111×131×711×101591
LCM(10153,10159) = 103144327
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 10159
List of positive integer factors of 10159 that divides 10159 without a remainder.
1, 10159
Least Common Multiple of 10153 and 10159 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 10159, than apply into the LCM equation.
GCF(10153,10159) = 1
LCM(10153,10159) = ( 10153 × 10159) / 1
LCM(10153,10159) = 103144327 / 1
LCM(10153,10159) = 103144327
Properties of LCM 10153 and 10159
(i) The LCM of 10159 and 10153 is associative
LCM of 10153 and 10159 = LCM of 10159 and 10153
Related Least Common Multiples of 10153
Related Least Common Multiples of 10159
Frequently Asked Questions on LCM of 10153 and 10159
1. What is the LCM of 10153 and 10159?
Answer: LCM of 10153 and 10159 is 103144327.
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 10159?
Answer: Factors of 10159 are 1, 10159. There are 2 integers that are factors of 10159. The greatest factor of 10159 is 10159.
4. How to Find the LCM of 10153 and 10159?
Answer:
Least Common Multiple of 10153 and 10159 = 103144327
Step 1: Find the prime factorization of 10153
10153 = 11 x 13 x 71
Step 2: Find the prime factorization of 10159
10159 = 10159
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 103144327 = 11 x 13 x 71 x 10159
Step 4: Therefore, the least common multiple of 10153 and 10159 is 103144327.