Least Common Multiple of 7095 and 7102
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7095 and 7102 the smallest integer that is 50388690 that is divisible by both numbers.
Least Common Multiple (LCM) of 7095 and 7102 is 50388690.
LCM(7095,7102) = 50388690
LCM of 7095 and 7102
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7095 and 7102 by Prime method
- Least Common Multiple of 7095 and 7102 with GCF Formula
LCM of 7095 and 7102 is 50388690
Least common multiple can be found by multiplying the highest exponent prime factors of 7095 and 7102. First we will calculate the prime factors of 7095 and 7102.
Prime Factorization of 7095
| 3 | 7095 |
| 5 | 2365 |
| 11 | 473 |
| 43 | 43 |
| 1 |
Prime factors of 7095 are 3, 5, 11,43. Prime factorization of 7095 in exponential form is:
7095 = 31×51×111×431
Prime Factorization of 7102
| 2 | 7102 |
| 53 | 3551 |
| 67 | 67 |
| 1 |
Prime factors of 7102 are 2, 53,67. Prime factorization of 7102 in exponential form is:
7102 = 21×531×671
Now multiplying the highest exponent prime factors to calculate the LCM of 7095 and 7102.
LCM(7095,7102) = 21×31×51×111×431×531×671
LCM(7095,7102) = 50388690
Factors of 7095
List of positive integer factors of 7095 that divides 7095 without a remainder.
1, 3, 5, 11, 15, 33, 43, 55, 129, 165, 215, 473, 645, 1419, 2365, 7095
Factors of 7102
List of positive integer factors of 7102 that divides 7102 without a remainder.
1, 2, 53, 67, 106, 134, 3551, 7102
Least Common Multiple of 7095 and 7102 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7095 and 7102, than apply into the LCM equation.
GCF(7095,7102) = 1
LCM(7095,7102) = ( 7095 × 7102) / 1
LCM(7095,7102) = 50388690 / 1
LCM(7095,7102) = 50388690
Properties of LCM 7095 and 7102
(i) The LCM of 7102 and 7095 is associative
LCM of 7095 and 7102 = LCM of 7102 and 7095
Related Least Common Multiples of 7095
Related Least Common Multiples of 7102
Frequently Asked Questions on LCM of 7095 and 7102
1. What is the LCM of 7095 and 7102?
Answer: LCM of 7095 and 7102 is 50388690.
2. What are the Factors of 7095?
Answer: Factors of 7095 are 1, 3, 5, 11, 15, 33, 43, 55, 129, 165, 215, 473, 645, 1419, 2365, 7095. There are 16 integers that are factors of 7095. The greatest factor of 7095 is 7095.
3. What are the Factors of 7102?
Answer: Factors of 7102 are 1, 2, 53, 67, 106, 134, 3551, 7102. There are 8 integers that are factors of 7102. The greatest factor of 7102 is 7102.
4. How to Find the LCM of 7095 and 7102?
Answer:
Least Common Multiple of 7095 and 7102 = 50388690
Step 1: Find the prime factorization of 7095
7095 = 3 x 5 x 11 x 43
Step 2: Find the prime factorization of 7102
7102 = 2 x 53 x 67
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 50388690 = 2 x 3 x 5 x 11 x 43 x 53 x 67
Step 4: Therefore, the least common multiple of 7095 and 7102 is 50388690.