Least Common Multiple of 6174 and 6181
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 6181 the smallest integer that is 5451642 that is divisible by both numbers.
Least Common Multiple (LCM) of 6174 and 6181 is 5451642.
LCM(6174,6181) = 5451642
LCM of 6174 and 6181
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6174 and 6181 by Prime method
- Least Common Multiple of 6174 and 6181 with GCF Formula
LCM of 6174 and 6181 is 5451642
Least common multiple can be found by multiplying the highest exponent prime factors of 6174 and 6181. First we will calculate the prime factors of 6174 and 6181.
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 6181
| 7 | 6181 |
| 883 | 883 |
| 1 |
Prime factors of 6181 are 7,883. Prime factorization of 6181 in exponential form is:
6181 = 71×8831
Now multiplying the highest exponent prime factors to calculate the LCM of 6174 and 6181.
LCM(6174,6181) = 21×32×73×8831
LCM(6174,6181) = 5451642
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 6181
List of positive integer factors of 6181 that divides 6181 without a remainder.
1, 7, 883, 6181
Least Common Multiple of 6174 and 6181 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 6181, than apply into the LCM equation.
GCF(6174,6181) = 7
LCM(6174,6181) = ( 6174 × 6181) / 7
LCM(6174,6181) = 38161494 / 7
LCM(6174,6181) = 5451642
Properties of LCM 6174 and 6181
(i) The LCM of 6181 and 6174 is associative
LCM of 6174 and 6181 = LCM of 6181 and 6174
Related Least Common Multiples of 6174
Related Least Common Multiples of 6181
Frequently Asked Questions on LCM of 6174 and 6181
1. What is the LCM of 6174 and 6181?
Answer: LCM of 6174 and 6181 is 5451642.
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 6181?
Answer: Factors of 6181 are 1, 7, 883, 6181. There are 4 integers that are factors of 6181. The greatest factor of 6181 is 6181.
4. How to Find the LCM of 6174 and 6181?
Answer:
Least Common Multiple of 6174 and 6181 = 5451642
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 6181
6181 = 7 x 883
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5451642 = 2 x 3 x 3 x 7 x 7 x 7 x 883
Step 4: Therefore, the least common multiple of 6174 and 6181 is 5451642.