Least Common Multiple (LCM) of 167 and 195
The least common multiple (LCM) of 167 and 195 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 167 and 195?
First, calculate the GCD of 167 and 195 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 167 ÷ 195 = 0 remainder 167 |
| 2 | 195 ÷ 167 = 1 remainder 28 |
| 3 | 167 ÷ 28 = 5 remainder 27 |
| 4 | 28 ÷ 27 = 1 remainder 1 |
| 5 | 27 ÷ 1 = 27 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 50 and 114 | 2850 |
| 77 and 12 | 924 |
| 193 and 85 | 16405 |
| 119 and 88 | 10472 |
| 153 and 173 | 26469 |