Least Common Multiple (LCM) of 167 and 163
The least common multiple (LCM) of 167 and 163 is 27221.
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 163?
First, calculate the GCD of 167 and 163 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 167 ÷ 163 = 1 remainder 4 |
| 2 | 163 ÷ 4 = 40 remainder 3 |
| 3 | 4 ÷ 3 = 1 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 150 and 42 | 1050 |
| 163 and 33 | 5379 |
| 107 and 194 | 20758 |
| 153 and 19 | 2907 |
| 180 and 86 | 7740 |