Least Common Multiple of 6174 and 6179
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6174 and 6179 the smallest integer that is 38149146 that is divisible by both numbers.
Least Common Multiple (LCM) of 6174 and 6179 is 38149146.
LCM(6174,6179) = 38149146
LCM of 6174 and 6179
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6174 and 6179 by Prime method
- Least Common Multiple of 6174 and 6179 with GCF Formula
LCM of 6174 and 6179 is 38149146
Least common multiple can be found by multiplying the highest exponent prime factors of 6174 and 6179. First we will calculate the prime factors of 6174 and 6179.
Prime Factorization of 6174
| 2 | 6174 |
| 3 | 3087 |
| 3 | 1029 |
| 7 | 343 |
| 7 | 49 |
| 7 | 7 |
| 1 |
Prime factors of 6174 are 2, 3,7. Prime factorization of 6174 in exponential form is:
6174 = 21×32×73
Prime Factorization of 6179
| 37 | 6179 |
| 167 | 167 |
| 1 |
Prime factors of 6179 are 37,167. Prime factorization of 6179 in exponential form is:
6179 = 371×1671
Now multiplying the highest exponent prime factors to calculate the LCM of 6174 and 6179.
LCM(6174,6179) = 21×32×73×371×1671
LCM(6174,6179) = 38149146
Factors of 6174
List of positive integer factors of 6174 that divides 6174 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 343, 441, 686, 882, 1029, 2058, 3087, 6174
Factors of 6179
List of positive integer factors of 6179 that divides 6179 without a remainder.
1, 37, 167, 6179
Least Common Multiple of 6174 and 6179 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6174 and 6179, than apply into the LCM equation.
GCF(6174,6179) = 1
LCM(6174,6179) = ( 6174 × 6179) / 1
LCM(6174,6179) = 38149146 / 1
LCM(6174,6179) = 38149146
Properties of LCM 6174 and 6179
(i) The LCM of 6179 and 6174 is associative
LCM of 6174 and 6179 = LCM of 6179 and 6174
Related Least Common Multiples of 6174
Related Least Common Multiples of 6179
Frequently Asked Questions on LCM of 6174 and 6179
1. What is the LCM of 6174 and 6179?
Answer: LCM of 6174 and 6179 is 38149146.
2. What are the Factors of 6174?
Answer: Factors of 6174 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 343, 441, 686, 882, 1029, 2058, 3087, 6174. There are 24 integers that are factors of 6174. The greatest factor of 6174 is 6174.
3. What are the Factors of 6179?
Answer: Factors of 6179 are 1, 37, 167, 6179. There are 4 integers that are factors of 6179. The greatest factor of 6179 is 6179.
4. How to Find the LCM of 6174 and 6179?
Answer:
Least Common Multiple of 6174 and 6179 = 38149146
Step 1: Find the prime factorization of 6174
6174 = 2 x 3 x 3 x 7 x 7 x 7
Step 2: Find the prime factorization of 6179
6179 = 37 x 167
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 38149146 = 2 x 3 x 3 x 7 x 7 x 7 x 37 x 167
Step 4: Therefore, the least common multiple of 6174 and 6179 is 38149146.