Least Common Multiple of 4134 and 4141
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4134 and 4141 the smallest integer that is 17118894 that is divisible by both numbers.
Least Common Multiple (LCM) of 4134 and 4141 is 17118894.
LCM(4134,4141) = 17118894
LCM of 4134 and 4141
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4134 and 4141 by Prime method
- Least Common Multiple of 4134 and 4141 with GCF Formula
LCM of 4134 and 4141 is 17118894
Least common multiple can be found by multiplying the highest exponent prime factors of 4134 and 4141. First we will calculate the prime factors of 4134 and 4141.
Prime Factorization of 4134
| 2 | 4134 |
| 3 | 2067 |
| 13 | 689 |
| 53 | 53 |
| 1 |
Prime factors of 4134 are 2, 3, 13,53. Prime factorization of 4134 in exponential form is:
4134 = 21×31×131×531
Prime Factorization of 4141
| 41 | 4141 |
| 101 | 101 |
| 1 |
Prime factors of 4141 are 41,101. Prime factorization of 4141 in exponential form is:
4141 = 411×1011
Now multiplying the highest exponent prime factors to calculate the LCM of 4134 and 4141.
LCM(4134,4141) = 21×31×131×411×531×1011
LCM(4134,4141) = 17118894
Factors of 4134
List of positive integer factors of 4134 that divides 4134 without a remainder.
1, 2, 3, 6, 13, 26, 39, 53, 78, 106, 159, 318, 689, 1378, 2067, 4134
Factors of 4141
List of positive integer factors of 4141 that divides 4141 without a remainder.
1, 41, 101, 4141
Least Common Multiple of 4134 and 4141 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4134 and 4141, than apply into the LCM equation.
GCF(4134,4141) = 1
LCM(4134,4141) = ( 4134 × 4141) / 1
LCM(4134,4141) = 17118894 / 1
LCM(4134,4141) = 17118894
Properties of LCM 4134 and 4141
(i) The LCM of 4141 and 4134 is associative
LCM of 4134 and 4141 = LCM of 4141 and 4134
Related Least Common Multiples of 4134
Related Least Common Multiples of 4141
Frequently Asked Questions on LCM of 4134 and 4141
1. What is the LCM of 4134 and 4141?
Answer: LCM of 4134 and 4141 is 17118894.
2. What are the Factors of 4134?
Answer: Factors of 4134 are 1, 2, 3, 6, 13, 26, 39, 53, 78, 106, 159, 318, 689, 1378, 2067, 4134. There are 16 integers that are factors of 4134. The greatest factor of 4134 is 4134.
3. What are the Factors of 4141?
Answer: Factors of 4141 are 1, 41, 101, 4141. There are 4 integers that are factors of 4141. The greatest factor of 4141 is 4141.
4. How to Find the LCM of 4134 and 4141?
Answer:
Least Common Multiple of 4134 and 4141 = 17118894
Step 1: Find the prime factorization of 4134
4134 = 2 x 3 x 13 x 53
Step 2: Find the prime factorization of 4141
4141 = 41 x 101
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 17118894 = 2 x 3 x 13 x 41 x 53 x 101
Step 4: Therefore, the least common multiple of 4134 and 4141 is 17118894.