Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8172 and 8180 the smallest integer that is 16711740 that is divisible by both numbers.
Least Common Multiple (LCM) of 8172 and 8180 is 16711740.
LCM(8172,8180) = 16711740
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 8172 and 8180. First we will calculate the prime factors of 8172 and 8180.
Prime Factorization of 8172
2 | 8172 |
2 | 4086 |
3 | 2043 |
3 | 681 |
227 | 227 |
1 |
Prime factors of 8172 are 2, 3,227. Prime factorization of 8172 in exponential form is:
8172 = 22×32×2271
Prime Factorization of 8180
2 | 8180 |
2 | 4090 |
5 | 2045 |
409 | 409 |
1 |
Prime factors of 8180 are 2, 5,409. Prime factorization of 8180 in exponential form is:
8180 = 22×51×4091
Now multiplying the highest exponent prime factors to calculate the LCM of 8172 and 8180.
LCM(8172,8180) = 22×32×51×2271×4091
LCM(8172,8180) = 16711740
Factors of 8172
List of positive integer factors of 8172 that divides 8172 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36, 227, 454, 681, 908, 1362, 2043, 2724, 4086, 8172
Factors of 8180
List of positive integer factors of 8180 that divides 8180 without a remainder.
1, 2, 4, 5, 10, 20, 409, 818, 1636, 2045, 4090, 8180
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8172 and 8180, than apply into the LCM equation.
GCF(8172,8180) = 4
LCM(8172,8180) = ( 8172 × 8180) / 4
LCM(8172,8180) = 66846960 / 4
LCM(8172,8180) = 16711740
(i) The LCM of 8180 and 8172 is associative
LCM of 8172 and 8180 = LCM of 8180 and 8172
1. What is the LCM of 8172 and 8180?
Answer: LCM of 8172 and 8180 is 16711740.
2. What are the Factors of 8172?
Answer: Factors of 8172 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 227, 454, 681, 908, 1362, 2043, 2724, 4086, 8172. There are 18 integers that are factors of 8172. The greatest factor of 8172 is 8172.
3. What are the Factors of 8180?
Answer: Factors of 8180 are 1, 2, 4, 5, 10, 20, 409, 818, 1636, 2045, 4090, 8180. There are 12 integers that are factors of 8180. The greatest factor of 8180 is 8180.
4. How to Find the LCM of 8172 and 8180?
Answer:
Least Common Multiple of 8172 and 8180 = 16711740
Step 1: Find the prime factorization of 8172
8172 = 2 x 2 x 3 x 3 x 227
Step 2: Find the prime factorization of 8180
8180 = 2 x 2 x 5 x 409
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 16711740 = 2 x 2 x 3 x 3 x 5 x 227 x 409
Step 4: Therefore, the least common multiple of 8172 and 8180 is 16711740.