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 8179 the smallest integer that is 66838788 that is divisible by both numbers.
Least Common Multiple (LCM) of 8172 and 8179 is 66838788.
LCM(8172,8179) = 66838788
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 8179. First we will calculate the prime factors of 8172 and 8179.
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 8179
8179 | 8179 |
1 |
Prime factors of 8179 are 8179. Prime factorization of 8179 in exponential form is:
8179 = 81791
Now multiplying the highest exponent prime factors to calculate the LCM of 8172 and 8179.
LCM(8172,8179) = 22×32×2271×81791
LCM(8172,8179) = 66838788
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 8179
List of positive integer factors of 8179 that divides 8179 without a remainder.
1, 8179
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8172 and 8179, than apply into the LCM equation.
GCF(8172,8179) = 1
LCM(8172,8179) = ( 8172 × 8179) / 1
LCM(8172,8179) = 66838788 / 1
LCM(8172,8179) = 66838788
(i) The LCM of 8179 and 8172 is associative
LCM of 8172 and 8179 = LCM of 8179 and 8172
1. What is the LCM of 8172 and 8179?
Answer: LCM of 8172 and 8179 is 66838788.
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 8179?
Answer: Factors of 8179 are 1, 8179. There are 2 integers that are factors of 8179. The greatest factor of 8179 is 8179.
4. How to Find the LCM of 8172 and 8179?
Answer:
Least Common Multiple of 8172 and 8179 = 66838788
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 8179
8179 = 8179
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 66838788 = 2 x 2 x 3 x 3 x 227 x 8179
Step 4: Therefore, the least common multiple of 8172 and 8179 is 66838788.