Least Common Multiple (LCM) of 168 and 131
The least common multiple (LCM) of 168 and 131 is 22008.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 168 and 131?
First, calculate the GCD of 168 and 131 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 168 ÷ 131 = 1 remainder 37 |
| 2 | 131 ÷ 37 = 3 remainder 20 |
| 3 | 37 ÷ 20 = 1 remainder 17 |
| 4 | 20 ÷ 17 = 1 remainder 3 |
| 5 | 17 ÷ 3 = 5 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 119 and 175 | 2975 |
| 175 and 71 | 12425 |
| 108 and 11 | 1188 |
| 87 and 117 | 3393 |
| 114 and 132 | 2508 |