Least Common Multiple of 8118 and 8123
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 8123 the smallest integer that is 65942514 that is divisible by both numbers.
Least Common Multiple (LCM) of 8118 and 8123 is 65942514.
LCM(8118,8123) = 65942514
LCM of 8118 and 8123
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8118 and 8123 by Prime method
- Least Common Multiple of 8118 and 8123 with GCF Formula
LCM of 8118 and 8123 is 65942514
Least common multiple can be found by multiplying the highest exponent prime factors of 8118 and 8123. First we will calculate the prime factors of 8118 and 8123.
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 8123
| 8123 | 8123 |
| 1 |
Prime factors of 8123 are 8123. Prime factorization of 8123 in exponential form is:
8123 = 81231
Now multiplying the highest exponent prime factors to calculate the LCM of 8118 and 8123.
LCM(8118,8123) = 21×32×111×411×81231
LCM(8118,8123) = 65942514
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 8123
List of positive integer factors of 8123 that divides 8123 without a remainder.
1, 8123
Least Common Multiple of 8118 and 8123 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8118 and 8123, than apply into the LCM equation.
GCF(8118,8123) = 1
LCM(8118,8123) = ( 8118 × 8123) / 1
LCM(8118,8123) = 65942514 / 1
LCM(8118,8123) = 65942514
Properties of LCM 8118 and 8123
(i) The LCM of 8123 and 8118 is associative
LCM of 8118 and 8123 = LCM of 8123 and 8118
Related Least Common Multiples of 8118
Related Least Common Multiples of 8123
Frequently Asked Questions on LCM of 8118 and 8123
1. What is the LCM of 8118 and 8123?
Answer: LCM of 8118 and 8123 is 65942514.
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 8123?
Answer: Factors of 8123 are 1, 8123. There are 2 integers that are factors of 8123. The greatest factor of 8123 is 8123.
4. How to Find the LCM of 8118 and 8123?
Answer:
Least Common Multiple of 8118 and 8123 = 65942514
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 8123
8123 = 8123
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 65942514 = 2 x 3 x 3 x 11 x 41 x 8123
Step 4: Therefore, the least common multiple of 8118 and 8123 is 65942514.