Least Common Multiple (LCM) of 167 and 164
The least common multiple (LCM) of 167 and 164 is 27388.
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 164?
First, calculate the GCD of 167 and 164 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 167 ÷ 164 = 1 remainder 3 |
| 2 | 164 ÷ 3 = 54 remainder 2 |
| 3 | 3 ÷ 2 = 1 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 34 and 197 | 6698 |
| 27 and 96 | 864 |
| 189 and 174 | 10962 |
| 85 and 89 | 7565 |
| 95 and 74 | 7030 |