Least Common Multiple of 7130 and 7135
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 7135 the smallest integer that is 10174510 that is divisible by both numbers.
Least Common Multiple (LCM) of 7130 and 7135 is 10174510.
LCM(7130,7135) = 10174510
LCM of 7130 and 7135
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7130 and 7135 by Prime method
- Least Common Multiple of 7130 and 7135 with GCF Formula
LCM of 7130 and 7135 is 10174510
Least common multiple can be found by multiplying the highest exponent prime factors of 7130 and 7135. First we will calculate the prime factors of 7130 and 7135.
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 7135
| 5 | 7135 |
| 1427 | 1427 |
| 1 |
Prime factors of 7135 are 5,1427. Prime factorization of 7135 in exponential form is:
7135 = 51×14271
Now multiplying the highest exponent prime factors to calculate the LCM of 7130 and 7135.
LCM(7130,7135) = 21×51×231×311×14271
LCM(7130,7135) = 10174510
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 7135
List of positive integer factors of 7135 that divides 7135 without a remainder.
1, 5, 1427, 7135
Least Common Multiple of 7130 and 7135 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 7135, than apply into the LCM equation.
GCF(7130,7135) = 5
LCM(7130,7135) = ( 7130 × 7135) / 5
LCM(7130,7135) = 50872550 / 5
LCM(7130,7135) = 10174510
Properties of LCM 7130 and 7135
(i) The LCM of 7135 and 7130 is associative
LCM of 7130 and 7135 = LCM of 7135 and 7130
Related Least Common Multiples of 7130
Related Least Common Multiples of 7135
Frequently Asked Questions on LCM of 7130 and 7135
1. What is the LCM of 7130 and 7135?
Answer: LCM of 7130 and 7135 is 10174510.
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 7135?
Answer: Factors of 7135 are 1, 5, 1427, 7135. There are 4 integers that are factors of 7135. The greatest factor of 7135 is 7135.
4. How to Find the LCM of 7130 and 7135?
Answer:
Least Common Multiple of 7130 and 7135 = 10174510
Step 1: Find the prime factorization of 7130
7130 = 2 x 5 x 23 x 31
Step 2: Find the prime factorization of 7135
7135 = 5 x 1427
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 10174510 = 2 x 5 x 23 x 31 x 1427
Step 4: Therefore, the least common multiple of 7130 and 7135 is 10174510.