Least Common Multiple of 7130 and 7133
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7130 and 7133 the smallest integer that is 50858290 that is divisible by both numbers.
Least Common Multiple (LCM) of 7130 and 7133 is 50858290.
LCM(7130,7133) = 50858290
LCM of 7130 and 7133
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7130 and 7133 by Prime method
- Least Common Multiple of 7130 and 7133 with GCF Formula
LCM of 7130 and 7133 is 50858290
Least common multiple can be found by multiplying the highest exponent prime factors of 7130 and 7133. First we will calculate the prime factors of 7130 and 7133.
Prime Factorization of 7130
| 2 | 7130 |
| 5 | 3565 |
| 23 | 713 |
| 31 | 31 |
| 1 |
Prime factors of 7130 are 2, 5, 23,31. Prime factorization of 7130 in exponential form is:
7130 = 21×51×231×311
Prime Factorization of 7133
| 7 | 7133 |
| 1019 | 1019 |
| 1 |
Prime factors of 7133 are 7,1019. Prime factorization of 7133 in exponential form is:
7133 = 71×10191
Now multiplying the highest exponent prime factors to calculate the LCM of 7130 and 7133.
LCM(7130,7133) = 21×51×71×231×311×10191
LCM(7130,7133) = 50858290
Factors of 7130
List of positive integer factors of 7130 that divides 7130 without a remainder.
1, 2, 5, 10, 23, 31, 46, 62, 115, 155, 230, 310, 713, 1426, 3565, 7130
Factors of 7133
List of positive integer factors of 7133 that divides 7133 without a remainder.
1, 7, 1019, 7133
Least Common Multiple of 7130 and 7133 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7130 and 7133, than apply into the LCM equation.
GCF(7130,7133) = 1
LCM(7130,7133) = ( 7130 × 7133) / 1
LCM(7130,7133) = 50858290 / 1
LCM(7130,7133) = 50858290
Properties of LCM 7130 and 7133
(i) The LCM of 7133 and 7130 is associative
LCM of 7130 and 7133 = LCM of 7133 and 7130
Related Least Common Multiples of 7130
Related Least Common Multiples of 7133
Frequently Asked Questions on LCM of 7130 and 7133
1. What is the LCM of 7130 and 7133?
Answer: LCM of 7130 and 7133 is 50858290.
2. What are the Factors of 7130?
Answer: Factors of 7130 are 1, 2, 5, 10, 23, 31, 46, 62, 115, 155, 230, 310, 713, 1426, 3565, 7130. There are 16 integers that are factors of 7130. The greatest factor of 7130 is 7130.
3. What are the Factors of 7133?
Answer: Factors of 7133 are 1, 7, 1019, 7133. There are 4 integers that are factors of 7133. The greatest factor of 7133 is 7133.
4. How to Find the LCM of 7130 and 7133?
Answer:
Least Common Multiple of 7130 and 7133 = 50858290
Step 1: Find the prime factorization of 7130
7130 = 2 x 5 x 23 x 31
Step 2: Find the prime factorization of 7133
7133 = 7 x 1019
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 50858290 = 2 x 5 x 7 x 23 x 31 x 1019
Step 4: Therefore, the least common multiple of 7130 and 7133 is 50858290.
