Least Common Multiple of 7191 and 7199
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 7199 the smallest integer that is 51768009 that is divisible by both numbers.
Least Common Multiple (LCM) of 7191 and 7199 is 51768009.
LCM(7191,7199) = 51768009
LCM of 7191 and 7199
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7191 and 7199 by Prime method
- Least Common Multiple of 7191 and 7199 with GCF Formula
LCM of 7191 and 7199 is 51768009
Least common multiple can be found by multiplying the highest exponent prime factors of 7191 and 7199. First we will calculate the prime factors of 7191 and 7199.
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 7199
| 23 | 7199 |
| 313 | 313 |
| 1 |
Prime factors of 7199 are 23,313. Prime factorization of 7199 in exponential form is:
7199 = 231×3131
Now multiplying the highest exponent prime factors to calculate the LCM of 7191 and 7199.
LCM(7191,7199) = 32×171×231×471×3131
LCM(7191,7199) = 51768009
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 7199
List of positive integer factors of 7199 that divides 7199 without a remainder.
1, 23, 313, 7199
Least Common Multiple of 7191 and 7199 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 7199, than apply into the LCM equation.
GCF(7191,7199) = 1
LCM(7191,7199) = ( 7191 × 7199) / 1
LCM(7191,7199) = 51768009 / 1
LCM(7191,7199) = 51768009
Properties of LCM 7191 and 7199
(i) The LCM of 7199 and 7191 is associative
LCM of 7191 and 7199 = LCM of 7199 and 7191
Related Least Common Multiples of 7191
Related Least Common Multiples of 7199
Frequently Asked Questions on LCM of 7191 and 7199
1. What is the LCM of 7191 and 7199?
Answer: LCM of 7191 and 7199 is 51768009.
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 7199?
Answer: Factors of 7199 are 1, 23, 313, 7199. There are 4 integers that are factors of 7199. The greatest factor of 7199 is 7199.
4. How to Find the LCM of 7191 and 7199?
Answer:
Least Common Multiple of 7191 and 7199 = 51768009
Step 1: Find the prime factorization of 7191
7191 = 3 x 3 x 17 x 47
Step 2: Find the prime factorization of 7199
7199 = 23 x 313
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 51768009 = 3 x 3 x 17 x 23 x 47 x 313
Step 4: Therefore, the least common multiple of 7191 and 7199 is 51768009.