Least Common Multiple of 3179 and 3183
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3179 and 3183 the smallest integer that is 10118757 that is divisible by both numbers.
Least Common Multiple (LCM) of 3179 and 3183 is 10118757.
LCM(3179,3183) = 10118757
LCM of 3179 and 3183
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3179 and 3183 by Prime method
- Least Common Multiple of 3179 and 3183 with GCF Formula
LCM of 3179 and 3183 is 10118757
Least common multiple can be found by multiplying the highest exponent prime factors of 3179 and 3183. First we will calculate the prime factors of 3179 and 3183.
Prime Factorization of 3179
| 11 | 3179 |
| 17 | 289 |
| 17 | 17 |
| 1 |
Prime factors of 3179 are 11,17. Prime factorization of 3179 in exponential form is:
3179 = 111×172
Prime Factorization of 3183
| 3 | 3183 |
| 1061 | 1061 |
| 1 |
Prime factors of 3183 are 3,1061. Prime factorization of 3183 in exponential form is:
3183 = 31×10611
Now multiplying the highest exponent prime factors to calculate the LCM of 3179 and 3183.
LCM(3179,3183) = 31×111×172×10611
LCM(3179,3183) = 10118757
Factors of 3179
List of positive integer factors of 3179 that divides 3179 without a remainder.
1, 11, 17, 187, 289, 3179
Factors of 3183
List of positive integer factors of 3183 that divides 3183 without a remainder.
1, 3, 1061, 3183
Least Common Multiple of 3179 and 3183 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3179 and 3183, than apply into the LCM equation.
GCF(3179,3183) = 1
LCM(3179,3183) = ( 3179 × 3183) / 1
LCM(3179,3183) = 10118757 / 1
LCM(3179,3183) = 10118757
Properties of LCM 3179 and 3183
(i) The LCM of 3183 and 3179 is associative
LCM of 3179 and 3183 = LCM of 3183 and 3179
Related Least Common Multiples of 3179
Related Least Common Multiples of 3183
Frequently Asked Questions on LCM of 3179 and 3183
1. What is the LCM of 3179 and 3183?
Answer: LCM of 3179 and 3183 is 10118757.
2. What are the Factors of 3179?
Answer: Factors of 3179 are 1, 11, 17, 187, 289, 3179. There are 6 integers that are factors of 3179. The greatest factor of 3179 is 3179.
3. What are the Factors of 3183?
Answer: Factors of 3183 are 1, 3, 1061, 3183. There are 4 integers that are factors of 3183. The greatest factor of 3183 is 3183.
4. How to Find the LCM of 3179 and 3183?
Answer:
Least Common Multiple of 3179 and 3183 = 10118757
Step 1: Find the prime factorization of 3179
3179 = 11 x 17 x 17
Step 2: Find the prime factorization of 3183
3183 = 3 x 1061
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 10118757 = 3 x 11 x 17 x 17 x 1061
Step 4: Therefore, the least common multiple of 3179 and 3183 is 10118757.