Least Common Multiple (LCM) of 181 and 168
The least common multiple (LCM) of 181 and 168 is 30408.
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 181 and 168?
First, calculate the GCD of 181 and 168 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 181 ÷ 168 = 1 remainder 13 |
| 2 | 168 ÷ 13 = 12 remainder 12 |
| 3 | 13 ÷ 12 = 1 remainder 1 |
| 4 | 12 ÷ 1 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 162 and 80 | 6480 |
| 21 and 119 | 357 |
| 100 and 12 | 300 |
| 170 and 84 | 7140 |
| 115 and 182 | 20930 |