Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7186 and 7192 the smallest integer that is 25840856 that is divisible by both numbers.
Least Common Multiple (LCM) of 7186 and 7192 is 25840856.
LCM(7186,7192) = 25840856
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 7186 and 7192. First we will calculate the prime factors of 7186 and 7192.
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
Prime Factorization of 7192
2 | 7192 |
2 | 3596 |
2 | 1798 |
29 | 899 |
31 | 31 |
1 |
Prime factors of 7192 are 2, 29,31. Prime factorization of 7192 in exponential form is:
7192 = 23×291×311
Now multiplying the highest exponent prime factors to calculate the LCM of 7186 and 7192.
LCM(7186,7192) = 23×291×311×35931
LCM(7186,7192) = 25840856
Factors of 7186
List of positive integer factors of 7186 that divides 7186 without a remainder.
1, 2, 3593, 7186
Factors of 7192
List of positive integer factors of 7192 that divides 7192 without a remainder.
1, 2, 4, 8, 29, 31, 58, 62, 116, 124, 232, 248, 899, 1798, 3596, 7192
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7186 and 7192, than apply into the LCM equation.
GCF(7186,7192) = 2
LCM(7186,7192) = ( 7186 × 7192) / 2
LCM(7186,7192) = 51681712 / 2
LCM(7186,7192) = 25840856
(i) The LCM of 7192 and 7186 is associative
LCM of 7186 and 7192 = LCM of 7192 and 7186
1. What is the LCM of 7186 and 7192?
Answer: LCM of 7186 and 7192 is 25840856.
2. 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.
3. What are the Factors of 7192?
Answer: Factors of 7192 are 1, 2, 4, 8, 29, 31, 58, 62, 116, 124, 232, 248, 899, 1798, 3596, 7192. There are 16 integers that are factors of 7192. The greatest factor of 7192 is 7192.
4. How to Find the LCM of 7186 and 7192?
Answer:
Least Common Multiple of 7186 and 7192 = 25840856
Step 1: Find the prime factorization of 7186
7186 = 2 x 3593
Step 2: Find the prime factorization of 7192
7192 = 2 x 2 x 2 x 29 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 25840856 = 2 x 2 x 2 x 29 x 31 x 3593
Step 4: Therefore, the least common multiple of 7186 and 7192 is 25840856.