Least Common Multiple (LCM) of 136 and 142
The least common multiple (LCM) of 136 and 142 is 9656.
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 142?
First, calculate the GCD of 136 and 142 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 136 ÷ 142 = 0 remainder 136 |
| 2 | 142 ÷ 136 = 1 remainder 6 |
| 3 | 136 ÷ 6 = 22 remainder 4 |
| 4 | 6 ÷ 4 = 1 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 111 and 102 | 3774 |
| 20 and 177 | 3540 |
| 25 and 64 | 1600 |
| 135 and 154 | 20790 |
| 43 and 117 | 5031 |