Least Common Multiple of 10137 and 10141
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10137 and 10141 the smallest integer that is 102799317 that is divisible by both numbers.
Least Common Multiple (LCM) of 10137 and 10141 is 102799317.
LCM(10137,10141) = 102799317
LCM of 10137 and 10141
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10137 and 10141 by Prime method
- Least Common Multiple of 10137 and 10141 with GCF Formula
LCM of 10137 and 10141 is 102799317
Least common multiple can be found by multiplying the highest exponent prime factors of 10137 and 10141. First we will calculate the prime factors of 10137 and 10141.
Prime Factorization of 10137
| 3 | 10137 |
| 31 | 3379 |
| 109 | 109 |
| 1 |
Prime factors of 10137 are 3, 31,109. Prime factorization of 10137 in exponential form is:
10137 = 31×311×1091
Prime Factorization of 10141
| 10141 | 10141 |
| 1 |
Prime factors of 10141 are 10141. Prime factorization of 10141 in exponential form is:
10141 = 101411
Now multiplying the highest exponent prime factors to calculate the LCM of 10137 and 10141.
LCM(10137,10141) = 31×311×1091×101411
LCM(10137,10141) = 102799317
Factors of 10137
List of positive integer factors of 10137 that divides 10137 without a remainder.
1, 3, 31, 93, 109, 327, 3379, 10137
Factors of 10141
List of positive integer factors of 10141 that divides 10141 without a remainder.
1, 10141
Least Common Multiple of 10137 and 10141 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10137 and 10141, than apply into the LCM equation.
GCF(10137,10141) = 1
LCM(10137,10141) = ( 10137 × 10141) / 1
LCM(10137,10141) = 102799317 / 1
LCM(10137,10141) = 102799317
Properties of LCM 10137 and 10141
(i) The LCM of 10141 and 10137 is associative
LCM of 10137 and 10141 = LCM of 10141 and 10137
Related Least Common Multiples of 10137
Related Least Common Multiples of 10141
Frequently Asked Questions on LCM of 10137 and 10141
1. What is the LCM of 10137 and 10141?
Answer: LCM of 10137 and 10141 is 102799317.
2. What are the Factors of 10137?
Answer: Factors of 10137 are 1, 3, 31, 93, 109, 327, 3379, 10137. There are 8 integers that are factors of 10137. The greatest factor of 10137 is 10137.
3. What are the Factors of 10141?
Answer: Factors of 10141 are 1, 10141. There are 2 integers that are factors of 10141. The greatest factor of 10141 is 10141.
4. How to Find the LCM of 10137 and 10141?
Answer:
Least Common Multiple of 10137 and 10141 = 102799317
Step 1: Find the prime factorization of 10137
10137 = 3 x 31 x 109
Step 2: Find the prime factorization of 10141
10141 = 10141
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 102799317 = 3 x 31 x 109 x 10141
Step 4: Therefore, the least common multiple of 10137 and 10141 is 102799317.