Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7116 and 7123 the smallest integer that is 50687268 that is divisible by both numbers.
Least Common Multiple (LCM) of 7116 and 7123 is 50687268.
LCM(7116,7123) = 50687268
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 7116 and 7123. First we will calculate the prime factors of 7116 and 7123.
Prime Factorization of 7116
2 | 7116 |
2 | 3558 |
3 | 1779 |
593 | 593 |
1 |
Prime factors of 7116 are 2, 3,593. Prime factorization of 7116 in exponential form is:
7116 = 22×31×5931
Prime Factorization of 7123
17 | 7123 |
419 | 419 |
1 |
Prime factors of 7123 are 17,419. Prime factorization of 7123 in exponential form is:
7123 = 171×4191
Now multiplying the highest exponent prime factors to calculate the LCM of 7116 and 7123.
LCM(7116,7123) = 22×31×171×4191×5931
LCM(7116,7123) = 50687268
Factors of 7116
List of positive integer factors of 7116 that divides 7116 without a remainder.
1, 2, 3, 4, 6, 12, 593, 1186, 1779, 2372, 3558, 7116
Factors of 7123
List of positive integer factors of 7123 that divides 7123 without a remainder.
1, 17, 419, 7123
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7116 and 7123, than apply into the LCM equation.
GCF(7116,7123) = 1
LCM(7116,7123) = ( 7116 × 7123) / 1
LCM(7116,7123) = 50687268 / 1
LCM(7116,7123) = 50687268
(i) The LCM of 7123 and 7116 is associative
LCM of 7116 and 7123 = LCM of 7123 and 7116
1. What is the LCM of 7116 and 7123?
Answer: LCM of 7116 and 7123 is 50687268.
2. What are the Factors of 7116?
Answer: Factors of 7116 are 1, 2, 3, 4, 6, 12, 593, 1186, 1779, 2372, 3558, 7116. There are 12 integers that are factors of 7116. The greatest factor of 7116 is 7116.
3. What are the Factors of 7123?
Answer: Factors of 7123 are 1, 17, 419, 7123. There are 4 integers that are factors of 7123. The greatest factor of 7123 is 7123.
4. How to Find the LCM of 7116 and 7123?
Answer:
Least Common Multiple of 7116 and 7123 = 50687268
Step 1: Find the prime factorization of 7116
7116 = 2 x 2 x 3 x 593
Step 2: Find the prime factorization of 7123
7123 = 17 x 419
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 50687268 = 2 x 2 x 3 x 17 x 419 x 593
Step 4: Therefore, the least common multiple of 7116 and 7123 is 50687268.