Least Common Multiple (LCM) of 12 and 136
The least common multiple (LCM) of 12 and 136 is 408.
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 12 and 136?
First, calculate the GCD of 12 and 136 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 12 ÷ 136 = 0 remainder 12 |
| 2 | 136 ÷ 12 = 11 remainder 4 |
| 3 | 12 ÷ 4 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 33 and 141 | 1551 |
| 101 and 17 | 1717 |
| 113 and 55 | 6215 |
| 16 and 189 | 3024 |
| 169 and 24 | 4056 |