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 |
|---|---|
| 102 and 195 | 6630 |
| 27 and 90 | 270 |
| 173 and 197 | 34081 |
| 162 and 41 | 6642 |
| 52 and 64 | 832 |