Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8176 and 8180 the smallest integer that is 16719920 that is divisible by both numbers.
Least Common Multiple (LCM) of 8176 and 8180 is 16719920.
LCM(8176,8180) = 16719920
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 8176 and 8180. First we will calculate the prime factors of 8176 and 8180.
Prime Factorization of 8176
2 | 8176 |
2 | 4088 |
2 | 2044 |
2 | 1022 |
7 | 511 |
73 | 73 |
1 |
Prime factors of 8176 are 2, 7,73. Prime factorization of 8176 in exponential form is:
8176 = 24×71×731
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 8176 and 8180.
LCM(8176,8180) = 24×51×71×731×4091
LCM(8176,8180) = 16719920
Factors of 8176
List of positive integer factors of 8176 that divides 8176 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 56, 73, 112, 146, 292, 511, 584, 1022, 1168, 2044, 4088, 8176
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 8176 and 8180, than apply into the LCM equation.
GCF(8176,8180) = 4
LCM(8176,8180) = ( 8176 × 8180) / 4
LCM(8176,8180) = 66879680 / 4
LCM(8176,8180) = 16719920
(i) The LCM of 8180 and 8176 is associative
LCM of 8176 and 8180 = LCM of 8180 and 8176
1. What is the LCM of 8176 and 8180?
Answer: LCM of 8176 and 8180 is 16719920.
2. What are the Factors of 8176?
Answer: Factors of 8176 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 73, 112, 146, 292, 511, 584, 1022, 1168, 2044, 4088, 8176. There are 20 integers that are factors of 8176. The greatest factor of 8176 is 8176.
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 8176 and 8180?
Answer:
Least Common Multiple of 8176 and 8180 = 16719920
Step 1: Find the prime factorization of 8176
8176 = 2 x 2 x 2 x 2 x 7 x 73
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 = 16719920 = 2 x 2 x 2 x 2 x 5 x 7 x 73 x 409
Step 4: Therefore, the least common multiple of 8176 and 8180 is 16719920.