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 8178 the smallest integer that is 11138436 that is divisible by both numbers.
Least Common Multiple (LCM) of 8172 and 8178 is 11138436.
LCM(8172,8178) = 11138436
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 8178. First we will calculate the prime factors of 8172 and 8178.
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 8178
2 | 8178 |
3 | 4089 |
29 | 1363 |
47 | 47 |
1 |
Prime factors of 8178 are 2, 3, 29,47. Prime factorization of 8178 in exponential form is:
8178 = 21×31×291×471
Now multiplying the highest exponent prime factors to calculate the LCM of 8172 and 8178.
LCM(8172,8178) = 22×32×291×471×2271
LCM(8172,8178) = 11138436
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 8178
List of positive integer factors of 8178 that divides 8178 without a remainder.
1, 2, 3, 6, 29, 47, 58, 87, 94, 141, 174, 282, 1363, 2726, 4089, 8178
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8172 and 8178, than apply into the LCM equation.
GCF(8172,8178) = 6
LCM(8172,8178) = ( 8172 × 8178) / 6
LCM(8172,8178) = 66830616 / 6
LCM(8172,8178) = 11138436
(i) The LCM of 8178 and 8172 is associative
LCM of 8172 and 8178 = LCM of 8178 and 8172
1. What is the LCM of 8172 and 8178?
Answer: LCM of 8172 and 8178 is 11138436.
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 8178?
Answer: Factors of 8178 are 1, 2, 3, 6, 29, 47, 58, 87, 94, 141, 174, 282, 1363, 2726, 4089, 8178. There are 16 integers that are factors of 8178. The greatest factor of 8178 is 8178.
4. How to Find the LCM of 8172 and 8178?
Answer:
Least Common Multiple of 8172 and 8178 = 11138436
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 8178
8178 = 2 x 3 x 29 x 47
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 11138436 = 2 x 2 x 3 x 3 x 29 x 47 x 227
Step 4: Therefore, the least common multiple of 8172 and 8178 is 11138436.