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 7186 the smallest integer that is 25797740 that is divisible by both numbers.
Least Common Multiple (LCM) of 7180 and 7186 is 25797740.
LCM(7180,7186) = 25797740
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 7186. First we will calculate the prime factors of 7180 and 7186.
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 7186
2 | 7186 |
3593 | 3593 |
1 |
Prime factors of 7186 are 2,3593. Prime factorization of 7186 in exponential form is:
7186 = 21×35931
Now multiplying the highest exponent prime factors to calculate the LCM of 7180 and 7186.
LCM(7180,7186) = 22×51×3591×35931
LCM(7180,7186) = 25797740
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 7186
List of positive integer factors of 7186 that divides 7186 without a remainder.
1, 2, 3593, 7186
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7180 and 7186, than apply into the LCM equation.
GCF(7180,7186) = 2
LCM(7180,7186) = ( 7180 × 7186) / 2
LCM(7180,7186) = 51595480 / 2
LCM(7180,7186) = 25797740
(i) The LCM of 7186 and 7180 is associative
LCM of 7180 and 7186 = LCM of 7186 and 7180
1. What is the LCM of 7180 and 7186?
Answer: LCM of 7180 and 7186 is 25797740.
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 7186?
Answer: Factors of 7186 are 1, 2, 3593, 7186. There are 4 integers that are factors of 7186. The greatest factor of 7186 is 7186.
4. How to Find the LCM of 7180 and 7186?
Answer:
Least Common Multiple of 7180 and 7186 = 25797740
Step 1: Find the prime factorization of 7180
7180 = 2 x 2 x 5 x 359
Step 2: Find the prime factorization of 7186
7186 = 2 x 3593
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 25797740 = 2 x 2 x 5 x 359 x 3593
Step 4: Therefore, the least common multiple of 7180 and 7186 is 25797740.