Least Common Multiple (LCM) of 168 and 167
The least common multiple (LCM) of 168 and 167 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 168 and 167?
First, calculate the GCD of 168 and 167 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 168 ÷ 167 = 1 remainder 1 |
| 2 | 167 ÷ 1 = 167 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 160 and 36 | 1440 |
| 93 and 29 | 2697 |
| 160 and 112 | 1120 |
| 165 and 138 | 7590 |
| 198 and 143 | 2574 |