Least Common Multiple of 7174 and 7181
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7174 and 7181 the smallest integer that is 51516494 that is divisible by both numbers.
Least Common Multiple (LCM) of 7174 and 7181 is 51516494.
LCM(7174,7181) = 51516494
LCM of 7174 and 7181
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7174 and 7181 by Prime method
- Least Common Multiple of 7174 and 7181 with GCF Formula
LCM of 7174 and 7181 is 51516494
Least common multiple can be found by multiplying the highest exponent prime factors of 7174 and 7181. First we will calculate the prime factors of 7174 and 7181.
Prime Factorization of 7174
| 2 | 7174 |
| 17 | 3587 |
| 211 | 211 |
| 1 |
Prime factors of 7174 are 2, 17,211. Prime factorization of 7174 in exponential form is:
7174 = 21×171×2111
Prime Factorization of 7181
| 43 | 7181 |
| 167 | 167 |
| 1 |
Prime factors of 7181 are 43,167. Prime factorization of 7181 in exponential form is:
7181 = 431×1671
Now multiplying the highest exponent prime factors to calculate the LCM of 7174 and 7181.
LCM(7174,7181) = 21×171×431×1671×2111
LCM(7174,7181) = 51516494
Factors of 7174
List of positive integer factors of 7174 that divides 7174 without a remainder.
1, 2, 17, 34, 211, 422, 3587, 7174
Factors of 7181
List of positive integer factors of 7181 that divides 7181 without a remainder.
1, 43, 167, 7181
Least Common Multiple of 7174 and 7181 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7174 and 7181, than apply into the LCM equation.
GCF(7174,7181) = 1
LCM(7174,7181) = ( 7174 × 7181) / 1
LCM(7174,7181) = 51516494 / 1
LCM(7174,7181) = 51516494
Properties of LCM 7174 and 7181
(i) The LCM of 7181 and 7174 is associative
LCM of 7174 and 7181 = LCM of 7181 and 7174
Related Least Common Multiples of 7174
Related Least Common Multiples of 7181
Frequently Asked Questions on LCM of 7174 and 7181
1. What is the LCM of 7174 and 7181?
Answer: LCM of 7174 and 7181 is 51516494.
2. What are the Factors of 7174?
Answer: Factors of 7174 are 1, 2, 17, 34, 211, 422, 3587, 7174. There are 8 integers that are factors of 7174. The greatest factor of 7174 is 7174.
3. What are the Factors of 7181?
Answer: Factors of 7181 are 1, 43, 167, 7181. There are 4 integers that are factors of 7181. The greatest factor of 7181 is 7181.
4. How to Find the LCM of 7174 and 7181?
Answer:
Least Common Multiple of 7174 and 7181 = 51516494
Step 1: Find the prime factorization of 7174
7174 = 2 x 17 x 211
Step 2: Find the prime factorization of 7181
7181 = 43 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 = 51516494 = 2 x 17 x 43 x 167 x 211
Step 4: Therefore, the least common multiple of 7174 and 7181 is 51516494.