Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7111 and 7115 the smallest integer that is 50594765 that is divisible by both numbers.
Least Common Multiple (LCM) of 7111 and 7115 is 50594765.
LCM(7111,7115) = 50594765
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 7111 and 7115. First we will calculate the prime factors of 7111 and 7115.
Prime Factorization of 7111
13 | 7111 |
547 | 547 |
1 |
Prime factors of 7111 are 13,547. Prime factorization of 7111 in exponential form is:
7111 = 131×5471
Prime Factorization of 7115
5 | 7115 |
1423 | 1423 |
1 |
Prime factors of 7115 are 5,1423. Prime factorization of 7115 in exponential form is:
7115 = 51×14231
Now multiplying the highest exponent prime factors to calculate the LCM of 7111 and 7115.
LCM(7111,7115) = 51×131×5471×14231
LCM(7111,7115) = 50594765
Factors of 7111
List of positive integer factors of 7111 that divides 7111 without a remainder.
1, 13, 547, 7111
Factors of 7115
List of positive integer factors of 7115 that divides 7115 without a remainder.
1, 5, 1423, 7115
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7111 and 7115, than apply into the LCM equation.
GCF(7111,7115) = 1
LCM(7111,7115) = ( 7111 × 7115) / 1
LCM(7111,7115) = 50594765 / 1
LCM(7111,7115) = 50594765
(i) The LCM of 7115 and 7111 is associative
LCM of 7111 and 7115 = LCM of 7115 and 7111
1. What is the LCM of 7111 and 7115?
Answer: LCM of 7111 and 7115 is 50594765.
2. What are the Factors of 7111?
Answer: Factors of 7111 are 1, 13, 547, 7111. There are 4 integers that are factors of 7111. The greatest factor of 7111 is 7111.
3. What are the Factors of 7115?
Answer: Factors of 7115 are 1, 5, 1423, 7115. There are 4 integers that are factors of 7115. The greatest factor of 7115 is 7115.
4. How to Find the LCM of 7111 and 7115?
Answer:
Least Common Multiple of 7111 and 7115 = 50594765
Step 1: Find the prime factorization of 7111
7111 = 13 x 547
Step 2: Find the prime factorization of 7115
7115 = 5 x 1423
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 50594765 = 5 x 13 x 547 x 1423
Step 4: Therefore, the least common multiple of 7111 and 7115 is 50594765.