Least Common Multiple (LCM) of 161 and 168
The least common multiple (LCM) of 161 and 168 is 3864.
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 161 and 168?
First, calculate the GCD of 161 and 168 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 161 ÷ 168 = 0 remainder 161 |
| 2 | 168 ÷ 161 = 1 remainder 7 |
| 3 | 161 ÷ 7 = 23 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 153 and 98 | 14994 |
| 81 and 168 | 4536 |
| 194 and 113 | 21922 |
| 129 and 65 | 8385 |
| 138 and 68 | 4692 |