Least Common Multiple (LCM) of 168 and 161
The least common multiple (LCM) of 168 and 161 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 168 and 161?
First, calculate the GCD of 168 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 168 ÷ 161 = 1 remainder 7 |
| 2 | 161 ÷ 7 = 23 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 101 and 142 | 14342 |
| 78 and 162 | 2106 |
| 87 and 75 | 2175 |
| 38 and 140 | 2660 |
| 120 and 23 | 2760 |