Least Common Multiple (LCM) of 167 and 168
The least common multiple (LCM) of 167 and 168 is 28056.
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 167 and 168?
First, calculate the GCD of 167 and 168 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 167 ÷ 168 = 0 remainder 167 |
| 2 | 168 ÷ 167 = 1 remainder 1 |
| 3 | 167 ÷ 1 = 167 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 103 and 52 | 5356 |
| 52 and 108 | 1404 |
| 196 and 66 | 6468 |
| 180 and 153 | 3060 |
| 172 and 47 | 8084 |