Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8118 and 8126 the smallest integer that is 32983434 that is divisible by both numbers.
Least Common Multiple (LCM) of 8118 and 8126 is 32983434.
LCM(8118,8126) = 32983434
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 8118 and 8126. First we will calculate the prime factors of 8118 and 8126.
Prime Factorization of 8118
2 | 8118 |
3 | 4059 |
3 | 1353 |
11 | 451 |
41 | 41 |
1 |
Prime factors of 8118 are 2, 3, 11,41. Prime factorization of 8118 in exponential form is:
8118 = 21×32×111×411
Prime Factorization of 8126
2 | 8126 |
17 | 4063 |
239 | 239 |
1 |
Prime factors of 8126 are 2, 17,239. Prime factorization of 8126 in exponential form is:
8126 = 21×171×2391
Now multiplying the highest exponent prime factors to calculate the LCM of 8118 and 8126.
LCM(8118,8126) = 21×32×111×171×411×2391
LCM(8118,8126) = 32983434
Factors of 8118
List of positive integer factors of 8118 that divides 8118 without a remainder.
1, 2, 3, 6, 9, 11, 18, 22, 33, 41, 66, 82, 99, 123, 198, 246, 369, 451, 738, 902, 1353, 2706, 4059, 8118
Factors of 8126
List of positive integer factors of 8126 that divides 8126 without a remainder.
1, 2, 17, 34, 239, 478, 4063, 8126
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8118 and 8126, than apply into the LCM equation.
GCF(8118,8126) = 2
LCM(8118,8126) = ( 8118 × 8126) / 2
LCM(8118,8126) = 65966868 / 2
LCM(8118,8126) = 32983434
(i) The LCM of 8126 and 8118 is associative
LCM of 8118 and 8126 = LCM of 8126 and 8118
1. What is the LCM of 8118 and 8126?
Answer: LCM of 8118 and 8126 is 32983434.
2. What are the Factors of 8118?
Answer: Factors of 8118 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 41, 66, 82, 99, 123, 198, 246, 369, 451, 738, 902, 1353, 2706, 4059, 8118. There are 24 integers that are factors of 8118. The greatest factor of 8118 is 8118.
3. What are the Factors of 8126?
Answer: Factors of 8126 are 1, 2, 17, 34, 239, 478, 4063, 8126. There are 8 integers that are factors of 8126. The greatest factor of 8126 is 8126.
4. How to Find the LCM of 8118 and 8126?
Answer:
Least Common Multiple of 8118 and 8126 = 32983434
Step 1: Find the prime factorization of 8118
8118 = 2 x 3 x 3 x 11 x 41
Step 2: Find the prime factorization of 8126
8126 = 2 x 17 x 239
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 32983434 = 2 x 3 x 3 x 11 x 17 x 41 x 239
Step 4: Therefore, the least common multiple of 8118 and 8126 is 32983434.