Least Common Multiple of 7134 and 7141
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7134 and 7141 the smallest integer that is 50943894 that is divisible by both numbers.
Least Common Multiple (LCM) of 7134 and 7141 is 50943894.
LCM(7134,7141) = 50943894
LCM of 7134 and 7141
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7134 and 7141 by Prime method
- Least Common Multiple of 7134 and 7141 with GCF Formula
LCM of 7134 and 7141 is 50943894
Least common multiple can be found by multiplying the highest exponent prime factors of 7134 and 7141. First we will calculate the prime factors of 7134 and 7141.
Prime Factorization of 7134
| 2 | 7134 |
| 3 | 3567 |
| 29 | 1189 |
| 41 | 41 |
| 1 |
Prime factors of 7134 are 2, 3, 29,41. Prime factorization of 7134 in exponential form is:
7134 = 21×31×291×411
Prime Factorization of 7141
| 37 | 7141 |
| 193 | 193 |
| 1 |
Prime factors of 7141 are 37,193. Prime factorization of 7141 in exponential form is:
7141 = 371×1931
Now multiplying the highest exponent prime factors to calculate the LCM of 7134 and 7141.
LCM(7134,7141) = 21×31×291×371×411×1931
LCM(7134,7141) = 50943894
Factors of 7134
List of positive integer factors of 7134 that divides 7134 without a remainder.
1, 2, 3, 6, 29, 41, 58, 82, 87, 123, 174, 246, 1189, 2378, 3567, 7134
Factors of 7141
List of positive integer factors of 7141 that divides 7141 without a remainder.
1, 37, 193, 7141
Least Common Multiple of 7134 and 7141 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7134 and 7141, than apply into the LCM equation.
GCF(7134,7141) = 1
LCM(7134,7141) = ( 7134 × 7141) / 1
LCM(7134,7141) = 50943894 / 1
LCM(7134,7141) = 50943894
Properties of LCM 7134 and 7141
(i) The LCM of 7141 and 7134 is associative
LCM of 7134 and 7141 = LCM of 7141 and 7134
Related Least Common Multiples of 7134
Related Least Common Multiples of 7141
Frequently Asked Questions on LCM of 7134 and 7141
1. What is the LCM of 7134 and 7141?
Answer: LCM of 7134 and 7141 is 50943894.
2. What are the Factors of 7134?
Answer: Factors of 7134 are 1, 2, 3, 6, 29, 41, 58, 82, 87, 123, 174, 246, 1189, 2378, 3567, 7134. There are 16 integers that are factors of 7134. The greatest factor of 7134 is 7134.
3. What are the Factors of 7141?
Answer: Factors of 7141 are 1, 37, 193, 7141. There are 4 integers that are factors of 7141. The greatest factor of 7141 is 7141.
4. How to Find the LCM of 7134 and 7141?
Answer:
Least Common Multiple of 7134 and 7141 = 50943894
Step 1: Find the prime factorization of 7134
7134 = 2 x 3 x 29 x 41
Step 2: Find the prime factorization of 7141
7141 = 37 x 193
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 50943894 = 2 x 3 x 29 x 37 x 41 x 193
Step 4: Therefore, the least common multiple of 7134 and 7141 is 50943894.