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 |
|---|---|
| 190 and 140 | 2660 |
| 106 and 156 | 8268 |
| 162 and 195 | 10530 |
| 44 and 98 | 2156 |
| 126 and 138 | 2898 |