Least Common Multiple (LCM) of 136 and 195
The least common multiple (LCM) of 136 and 195 is 26520.
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 136 and 195?
First, calculate the GCD of 136 and 195 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 136 ÷ 195 = 0 remainder 136 |
| 2 | 195 ÷ 136 = 1 remainder 59 |
| 3 | 136 ÷ 59 = 2 remainder 18 |
| 4 | 59 ÷ 18 = 3 remainder 5 |
| 5 | 18 ÷ 5 = 3 remainder 3 |
| 6 | 5 ÷ 3 = 1 remainder 2 |
| 7 | 3 ÷ 2 = 1 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 159 and 150 | 7950 |
| 73 and 164 | 11972 |
| 104 and 120 | 1560 |
| 141 and 117 | 5499 |
| 189 and 55 | 10395 |