Least Common Multiple (LCM) of 195 and 154
The least common multiple (LCM) of 195 and 154 is 30030.
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 154?
First, calculate the GCD of 195 and 154 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 195 ÷ 154 = 1 remainder 41 |
| 2 | 154 ÷ 41 = 3 remainder 31 |
| 3 | 41 ÷ 31 = 1 remainder 10 |
| 4 | 31 ÷ 10 = 3 remainder 1 |
| 5 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 76 and 22 | 836 |
| 193 and 200 | 38600 |
| 45 and 46 | 2070 |
| 198 and 69 | 4554 |
| 64 and 144 | 576 |