Least Common Multiple of 4116 and 4123
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4116 and 4123 the smallest integer that is 2424324 that is divisible by both numbers.
Least Common Multiple (LCM) of 4116 and 4123 is 2424324.
LCM(4116,4123) = 2424324
LCM of 4116 and 4123
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4116 and 4123 by Prime method
- Least Common Multiple of 4116 and 4123 with GCF Formula
LCM of 4116 and 4123 is 2424324
Least common multiple can be found by multiplying the highest exponent prime factors of 4116 and 4123. First we will calculate the prime factors of 4116 and 4123.
Prime Factorization of 4116
| 2 | 4116 |
| 2 | 2058 |
| 3 | 1029 |
| 7 | 343 |
| 7 | 49 |
| 7 | 7 |
| 1 |
Prime factors of 4116 are 2, 3,7. Prime factorization of 4116 in exponential form is:
4116 = 22×31×73
Prime Factorization of 4123
| 7 | 4123 |
| 19 | 589 |
| 31 | 31 |
| 1 |
Prime factors of 4123 are 7, 19,31. Prime factorization of 4123 in exponential form is:
4123 = 71×191×311
Now multiplying the highest exponent prime factors to calculate the LCM of 4116 and 4123.
LCM(4116,4123) = 22×31×73×191×311
LCM(4116,4123) = 2424324
Factors of 4116
List of positive integer factors of 4116 that divides 4116 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 343, 588, 686, 1029, 1372, 2058, 4116
Factors of 4123
List of positive integer factors of 4123 that divides 4123 without a remainder.
1, 7, 19, 31, 133, 217, 589, 4123
Least Common Multiple of 4116 and 4123 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4116 and 4123, than apply into the LCM equation.
GCF(4116,4123) = 7
LCM(4116,4123) = ( 4116 × 4123) / 7
LCM(4116,4123) = 16970268 / 7
LCM(4116,4123) = 2424324
Properties of LCM 4116 and 4123
(i) The LCM of 4123 and 4116 is associative
LCM of 4116 and 4123 = LCM of 4123 and 4116
Related Least Common Multiples of 4116
Related Least Common Multiples of 4123
Frequently Asked Questions on LCM of 4116 and 4123
1. What is the LCM of 4116 and 4123?
Answer: LCM of 4116 and 4123 is 2424324.
2. What are the Factors of 4116?
Answer: Factors of 4116 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 343, 588, 686, 1029, 1372, 2058, 4116. There are 24 integers that are factors of 4116. The greatest factor of 4116 is 4116.
3. What are the Factors of 4123?
Answer: Factors of 4123 are 1, 7, 19, 31, 133, 217, 589, 4123. There are 8 integers that are factors of 4123. The greatest factor of 4123 is 4123.
4. How to Find the LCM of 4116 and 4123?
Answer:
Least Common Multiple of 4116 and 4123 = 2424324
Step 1: Find the prime factorization of 4116
4116 = 2 x 2 x 3 x 7 x 7 x 7
Step 2: Find the prime factorization of 4123
4123 = 7 x 19 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2424324 = 2 x 2 x 3 x 7 x 7 x 7 x 19 x 31
Step 4: Therefore, the least common multiple of 4116 and 4123 is 2424324.