Least Common Multiple (LCM) of 195 and 168
The least common multiple (LCM) of 195 and 168 is 10920.
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 168?
First, calculate the GCD of 195 and 168 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 195 ÷ 168 = 1 remainder 27 |
| 2 | 168 ÷ 27 = 6 remainder 6 |
| 3 | 27 ÷ 6 = 4 remainder 3 |
| 4 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 51 and 137 | 6987 |
| 101 and 177 | 17877 |
| 37 and 84 | 3108 |
| 129 and 70 | 9030 |
| 189 and 79 | 14931 |