Least Common Multiple of 7181 and 7185
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7181 and 7185 the smallest integer that is 51595485 that is divisible by both numbers.
Least Common Multiple (LCM) of 7181 and 7185 is 51595485.
LCM(7181,7185) = 51595485
LCM of 7181 and 7185
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7181 and 7185 by Prime method
- Least Common Multiple of 7181 and 7185 with GCF Formula
LCM of 7181 and 7185 is 51595485
Least common multiple can be found by multiplying the highest exponent prime factors of 7181 and 7185. First we will calculate the prime factors of 7181 and 7185.
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
Prime Factorization of 7185
| 3 | 7185 |
| 5 | 2395 |
| 479 | 479 |
| 1 |
Prime factors of 7185 are 3, 5,479. Prime factorization of 7185 in exponential form is:
7185 = 31×51×4791
Now multiplying the highest exponent prime factors to calculate the LCM of 7181 and 7185.
LCM(7181,7185) = 31×51×431×1671×4791
LCM(7181,7185) = 51595485
Factors of 7181
List of positive integer factors of 7181 that divides 7181 without a remainder.
1, 43, 167, 7181
Factors of 7185
List of positive integer factors of 7185 that divides 7185 without a remainder.
1, 3, 5, 15, 479, 1437, 2395, 7185
Least Common Multiple of 7181 and 7185 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7181 and 7185, than apply into the LCM equation.
GCF(7181,7185) = 1
LCM(7181,7185) = ( 7181 × 7185) / 1
LCM(7181,7185) = 51595485 / 1
LCM(7181,7185) = 51595485
Properties of LCM 7181 and 7185
(i) The LCM of 7185 and 7181 is associative
LCM of 7181 and 7185 = LCM of 7185 and 7181
Related Least Common Multiples of 7181
Related Least Common Multiples of 7185
Frequently Asked Questions on LCM of 7181 and 7185
1. What is the LCM of 7181 and 7185?
Answer: LCM of 7181 and 7185 is 51595485.
2. 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.
3. What are the Factors of 7185?
Answer: Factors of 7185 are 1, 3, 5, 15, 479, 1437, 2395, 7185. There are 8 integers that are factors of 7185. The greatest factor of 7185 is 7185.
4. How to Find the LCM of 7181 and 7185?
Answer:
Least Common Multiple of 7181 and 7185 = 51595485
Step 1: Find the prime factorization of 7181
7181 = 43 x 167
Step 2: Find the prime factorization of 7185
7185 = 3 x 5 x 479
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 51595485 = 3 x 5 x 43 x 167 x 479
Step 4: Therefore, the least common multiple of 7181 and 7185 is 51595485.