Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7180 and 7184 the smallest integer that is 12895280 that is divisible by both numbers.
Least Common Multiple (LCM) of 7180 and 7184 is 12895280.
LCM(7180,7184) = 12895280
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 7180 and 7184. First we will calculate the prime factors of 7180 and 7184.
Prime Factorization of 7180
2 | 7180 |
2 | 3590 |
5 | 1795 |
359 | 359 |
1 |
Prime factors of 7180 are 2, 5,359. Prime factorization of 7180 in exponential form is:
7180 = 22×51×3591
Prime Factorization of 7184
2 | 7184 |
2 | 3592 |
2 | 1796 |
2 | 898 |
449 | 449 |
1 |
Prime factors of 7184 are 2,449. Prime factorization of 7184 in exponential form is:
7184 = 24×4491
Now multiplying the highest exponent prime factors to calculate the LCM of 7180 and 7184.
LCM(7180,7184) = 24×51×3591×4491
LCM(7180,7184) = 12895280
Factors of 7180
List of positive integer factors of 7180 that divides 7180 without a remainder.
1, 2, 4, 5, 10, 20, 359, 718, 1436, 1795, 3590, 7180
Factors of 7184
List of positive integer factors of 7184 that divides 7184 without a remainder.
1, 2, 4, 8, 16, 449, 898, 1796, 3592, 7184
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7180 and 7184, than apply into the LCM equation.
GCF(7180,7184) = 4
LCM(7180,7184) = ( 7180 × 7184) / 4
LCM(7180,7184) = 51581120 / 4
LCM(7180,7184) = 12895280
(i) The LCM of 7184 and 7180 is associative
LCM of 7180 and 7184 = LCM of 7184 and 7180
1. What is the LCM of 7180 and 7184?
Answer: LCM of 7180 and 7184 is 12895280.
2. What are the Factors of 7180?
Answer: Factors of 7180 are 1, 2, 4, 5, 10, 20, 359, 718, 1436, 1795, 3590, 7180. There are 12 integers that are factors of 7180. The greatest factor of 7180 is 7180.
3. What are the Factors of 7184?
Answer: Factors of 7184 are 1, 2, 4, 8, 16, 449, 898, 1796, 3592, 7184. There are 10 integers that are factors of 7184. The greatest factor of 7184 is 7184.
4. How to Find the LCM of 7180 and 7184?
Answer:
Least Common Multiple of 7180 and 7184 = 12895280
Step 1: Find the prime factorization of 7180
7180 = 2 x 2 x 5 x 359
Step 2: Find the prime factorization of 7184
7184 = 2 x 2 x 2 x 2 x 449
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 12895280 = 2 x 2 x 2 x 2 x 5 x 359 x 449
Step 4: Therefore, the least common multiple of 7180 and 7184 is 12895280.