Least Common Multiple of 10141 and 10149
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10141 and 10149 the smallest integer that is 102921009 that is divisible by both numbers.
Least Common Multiple (LCM) of 10141 and 10149 is 102921009.
LCM(10141,10149) = 102921009
LCM of 10141 and 10149
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10141 and 10149 by Prime method
- Least Common Multiple of 10141 and 10149 with GCF Formula
LCM of 10141 and 10149 is 102921009
Least common multiple can be found by multiplying the highest exponent prime factors of 10141 and 10149. First we will calculate the prime factors of 10141 and 10149.
Prime Factorization of 10141
| 10141 | 10141 |
| 1 |
Prime factors of 10141 are 10141. Prime factorization of 10141 in exponential form is:
10141 = 101411
Prime Factorization of 10149
| 3 | 10149 |
| 17 | 3383 |
| 199 | 199 |
| 1 |
Prime factors of 10149 are 3, 17,199. Prime factorization of 10149 in exponential form is:
10149 = 31×171×1991
Now multiplying the highest exponent prime factors to calculate the LCM of 10141 and 10149.
LCM(10141,10149) = 31×171×1991×101411
LCM(10141,10149) = 102921009
Factors of 10141
List of positive integer factors of 10141 that divides 10141 without a remainder.
1, 10141
Factors of 10149
List of positive integer factors of 10149 that divides 10149 without a remainder.
1, 3, 17, 51, 199, 597, 3383, 10149
Least Common Multiple of 10141 and 10149 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10141 and 10149, than apply into the LCM equation.
GCF(10141,10149) = 1
LCM(10141,10149) = ( 10141 × 10149) / 1
LCM(10141,10149) = 102921009 / 1
LCM(10141,10149) = 102921009
Properties of LCM 10141 and 10149
(i) The LCM of 10149 and 10141 is associative
LCM of 10141 and 10149 = LCM of 10149 and 10141
Related Least Common Multiples of 10141
Related Least Common Multiples of 10149
Frequently Asked Questions on LCM of 10141 and 10149
1. What is the LCM of 10141 and 10149?
Answer: LCM of 10141 and 10149 is 102921009.
2. 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.
3. What are the Factors of 10149?
Answer: Factors of 10149 are 1, 3, 17, 51, 199, 597, 3383, 10149. There are 8 integers that are factors of 10149. The greatest factor of 10149 is 10149.
4. How to Find the LCM of 10141 and 10149?
Answer:
Least Common Multiple of 10141 and 10149 = 102921009
Step 1: Find the prime factorization of 10141
10141 = 10141
Step 2: Find the prime factorization of 10149
10149 = 3 x 17 x 199
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 102921009 = 3 x 17 x 199 x 10141
Step 4: Therefore, the least common multiple of 10141 and 10149 is 102921009.