Least Common Multiple (LCM) of 195 and 167
The least common multiple (LCM) of 195 and 167 is 32565.
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 195 and 167?
First, calculate the GCD of 195 and 167 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 195 ÷ 167 = 1 remainder 28 |
| 2 | 167 ÷ 28 = 5 remainder 27 |
| 3 | 28 ÷ 27 = 1 remainder 1 |
| 4 | 27 ÷ 1 = 27 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 123 and 35 | 4305 |
| 96 and 144 | 288 |
| 160 and 176 | 1760 |
| 98 and 96 | 4704 |
| 101 and 102 | 10302 |