Least Common Multiple of 7191 and 7195
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7191 and 7195 the smallest integer that is 51739245 that is divisible by both numbers.
Least Common Multiple (LCM) of 7191 and 7195 is 51739245.
LCM(7191,7195) = 51739245
LCM of 7191 and 7195
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7191 and 7195 by Prime method
- Least Common Multiple of 7191 and 7195 with GCF Formula
LCM of 7191 and 7195 is 51739245
Least common multiple can be found by multiplying the highest exponent prime factors of 7191 and 7195. First we will calculate the prime factors of 7191 and 7195.
Prime Factorization of 7191
| 3 | 7191 |
| 3 | 2397 |
| 17 | 799 |
| 47 | 47 |
| 1 |
Prime factors of 7191 are 3, 17,47. Prime factorization of 7191 in exponential form is:
7191 = 32×171×471
Prime Factorization of 7195
| 5 | 7195 |
| 1439 | 1439 |
| 1 |
Prime factors of 7195 are 5,1439. Prime factorization of 7195 in exponential form is:
7195 = 51×14391
Now multiplying the highest exponent prime factors to calculate the LCM of 7191 and 7195.
LCM(7191,7195) = 32×51×171×471×14391
LCM(7191,7195) = 51739245
Factors of 7191
List of positive integer factors of 7191 that divides 7191 without a remainder.
1, 3, 9, 17, 47, 51, 141, 153, 423, 799, 2397, 7191
Factors of 7195
List of positive integer factors of 7195 that divides 7195 without a remainder.
1, 5, 1439, 7195
Least Common Multiple of 7191 and 7195 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7191 and 7195, than apply into the LCM equation.
GCF(7191,7195) = 1
LCM(7191,7195) = ( 7191 × 7195) / 1
LCM(7191,7195) = 51739245 / 1
LCM(7191,7195) = 51739245
Properties of LCM 7191 and 7195
(i) The LCM of 7195 and 7191 is associative
LCM of 7191 and 7195 = LCM of 7195 and 7191
Related Least Common Multiples of 7191
Related Least Common Multiples of 7195
Frequently Asked Questions on LCM of 7191 and 7195
1. What is the LCM of 7191 and 7195?
Answer: LCM of 7191 and 7195 is 51739245.
2. What are the Factors of 7191?
Answer: Factors of 7191 are 1, 3, 9, 17, 47, 51, 141, 153, 423, 799, 2397, 7191. There are 12 integers that are factors of 7191. The greatest factor of 7191 is 7191.
3. What are the Factors of 7195?
Answer: Factors of 7195 are 1, 5, 1439, 7195. There are 4 integers that are factors of 7195. The greatest factor of 7195 is 7195.
4. How to Find the LCM of 7191 and 7195?
Answer:
Least Common Multiple of 7191 and 7195 = 51739245
Step 1: Find the prime factorization of 7191
7191 = 3 x 3 x 17 x 47
Step 2: Find the prime factorization of 7195
7195 = 5 x 1439
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 51739245 = 3 x 3 x 5 x 17 x 47 x 1439
Step 4: Therefore, the least common multiple of 7191 and 7195 is 51739245.