Least Common Multiple of 8111 and 8118
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8111 and 8118 the smallest integer that is 65845098 that is divisible by both numbers.
Least Common Multiple (LCM) of 8111 and 8118 is 65845098.
LCM(8111,8118) = 65845098
LCM of 8111 and 8118
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8111 and 8118 by Prime method
- Least Common Multiple of 8111 and 8118 with GCF Formula
LCM of 8111 and 8118 is 65845098
Least common multiple can be found by multiplying the highest exponent prime factors of 8111 and 8118. First we will calculate the prime factors of 8111 and 8118.
Prime Factorization of 8111
| 8111 | 8111 |
| 1 |
Prime factors of 8111 are 8111. Prime factorization of 8111 in exponential form is:
8111 = 81111
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
Now multiplying the highest exponent prime factors to calculate the LCM of 8111 and 8118.
LCM(8111,8118) = 21×32×111×411×81111
LCM(8111,8118) = 65845098
Factors of 8111
List of positive integer factors of 8111 that divides 8111 without a remainder.
1, 8111
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
Least Common Multiple of 8111 and 8118 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8111 and 8118, than apply into the LCM equation.
GCF(8111,8118) = 1
LCM(8111,8118) = ( 8111 × 8118) / 1
LCM(8111,8118) = 65845098 / 1
LCM(8111,8118) = 65845098
Properties of LCM 8111 and 8118
(i) The LCM of 8118 and 8111 is associative
LCM of 8111 and 8118 = LCM of 8118 and 8111
Related Least Common Multiples of 8111
Related Least Common Multiples of 8118
Frequently Asked Questions on LCM of 8111 and 8118
1. What is the LCM of 8111 and 8118?
Answer: LCM of 8111 and 8118 is 65845098.
2. What are the Factors of 8111?
Answer: Factors of 8111 are 1, 8111. There are 2 integers that are factors of 8111. The greatest factor of 8111 is 8111.
3. 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.
4. How to Find the LCM of 8111 and 8118?
Answer:
Least Common Multiple of 8111 and 8118 = 65845098
Step 1: Find the prime factorization of 8111
8111 = 8111
Step 2: Find the prime factorization of 8118
8118 = 2 x 3 x 3 x 11 x 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 65845098 = 2 x 3 x 3 x 11 x 41 x 8111
Step 4: Therefore, the least common multiple of 8111 and 8118 is 65845098.