Least Common Multiple of 7119 and 7123
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7119 and 7123 the smallest integer that is 50708637 that is divisible by both numbers.
Least Common Multiple (LCM) of 7119 and 7123 is 50708637.
LCM(7119,7123) = 50708637
LCM of 7119 and 7123
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7119 and 7123 by Prime method
- Least Common Multiple of 7119 and 7123 with GCF Formula
LCM of 7119 and 7123 is 50708637
Least common multiple can be found by multiplying the highest exponent prime factors of 7119 and 7123. First we will calculate the prime factors of 7119 and 7123.
Prime Factorization of 7119
| 3 | 7119 |
| 3 | 2373 |
| 7 | 791 |
| 113 | 113 |
| 1 |
Prime factors of 7119 are 3, 7,113. Prime factorization of 7119 in exponential form is:
7119 = 32×71×1131
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 7119 and 7123.
LCM(7119,7123) = 32×71×171×1131×4191
LCM(7119,7123) = 50708637
Factors of 7119
List of positive integer factors of 7119 that divides 7119 without a remainder.
1, 3, 7, 9, 21, 63, 113, 339, 791, 1017, 2373, 7119
Factors of 7123
List of positive integer factors of 7123 that divides 7123 without a remainder.
1, 17, 419, 7123
Least Common Multiple of 7119 and 7123 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7119 and 7123, than apply into the LCM equation.
GCF(7119,7123) = 1
LCM(7119,7123) = ( 7119 × 7123) / 1
LCM(7119,7123) = 50708637 / 1
LCM(7119,7123) = 50708637
Properties of LCM 7119 and 7123
(i) The LCM of 7123 and 7119 is associative
LCM of 7119 and 7123 = LCM of 7123 and 7119
Related Least Common Multiples of 7119
Related Least Common Multiples of 7123
Frequently Asked Questions on LCM of 7119 and 7123
1. What is the LCM of 7119 and 7123?
Answer: LCM of 7119 and 7123 is 50708637.
2. What are the Factors of 7119?
Answer: Factors of 7119 are 1, 3, 7, 9, 21, 63, 113, 339, 791, 1017, 2373, 7119. There are 12 integers that are factors of 7119. The greatest factor of 7119 is 7119.
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 7119 and 7123?
Answer:
Least Common Multiple of 7119 and 7123 = 50708637
Step 1: Find the prime factorization of 7119
7119 = 3 x 3 x 7 x 113
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 = 50708637 = 3 x 3 x 7 x 17 x 113 x 419
Step 4: Therefore, the least common multiple of 7119 and 7123 is 50708637.