Least Common Multiple (LCM) of 147 and 195
The least common multiple (LCM) of 147 and 195 is 9555.
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 147 and 195?
First, calculate the GCD of 147 and 195 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 195 = 0 remainder 147 |
| 2 | 195 ÷ 147 = 1 remainder 48 |
| 3 | 147 ÷ 48 = 3 remainder 3 |
| 4 | 48 ÷ 3 = 16 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 196 and 71 | 13916 |
| 155 and 13 | 2015 |
| 107 and 193 | 20651 |
| 19 and 149 | 2831 |
| 195 and 75 | 975 |