Least Common Multiple of 4134 and 4139
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 4139 the smallest integer that is 17110626 that is divisible by both numbers.
Least Common Multiple (LCM) of 4134 and 4139 is 17110626.
LCM(4134,4139) = 17110626
LCM of 4134 and 4139
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4134 and 4139 by Prime method
- Least Common Multiple of 4134 and 4139 with GCF Formula
LCM of 4134 and 4139 is 17110626
Least common multiple can be found by multiplying the highest exponent prime factors of 4134 and 4139. First we will calculate the prime factors of 4134 and 4139.
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 4139
| 4139 | 4139 |
| 1 |
Prime factors of 4139 are 4139. Prime factorization of 4139 in exponential form is:
4139 = 41391
Now multiplying the highest exponent prime factors to calculate the LCM of 4134 and 4139.
LCM(4134,4139) = 21×31×131×531×41391
LCM(4134,4139) = 17110626
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 4139
List of positive integer factors of 4139 that divides 4139 without a remainder.
1, 4139
Least Common Multiple of 4134 and 4139 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 4139, than apply into the LCM equation.
GCF(4134,4139) = 1
LCM(4134,4139) = ( 4134 × 4139) / 1
LCM(4134,4139) = 17110626 / 1
LCM(4134,4139) = 17110626
Properties of LCM 4134 and 4139
(i) The LCM of 4139 and 4134 is associative
LCM of 4134 and 4139 = LCM of 4139 and 4134
Related Least Common Multiples of 4134
Related Least Common Multiples of 4139
Frequently Asked Questions on LCM of 4134 and 4139
1. What is the LCM of 4134 and 4139?
Answer: LCM of 4134 and 4139 is 17110626.
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 4139?
Answer: Factors of 4139 are 1, 4139. There are 2 integers that are factors of 4139. The greatest factor of 4139 is 4139.
4. How to Find the LCM of 4134 and 4139?
Answer:
Least Common Multiple of 4134 and 4139 = 17110626
Step 1: Find the prime factorization of 4134
4134 = 2 x 3 x 13 x 53
Step 2: Find the prime factorization of 4139
4139 = 4139
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 17110626 = 2 x 3 x 13 x 53 x 4139
Step 4: Therefore, the least common multiple of 4134 and 4139 is 17110626.