Least Common Multiple (LCM) of 63 and 195
The least common multiple (LCM) of 63 and 195 is 4095.
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 63 and 195?
First, calculate the GCD of 63 and 195 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 63 ÷ 195 = 0 remainder 63 |
| 2 | 195 ÷ 63 = 3 remainder 6 |
| 3 | 63 ÷ 6 = 10 remainder 3 |
| 4 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 167 and 114 | 19038 |
| 150 and 74 | 5550 |
| 69 and 177 | 4071 |
| 150 and 85 | 2550 |
| 42 and 109 | 4578 |