Least Common Multiple (LCM) of 136 and 182
The least common multiple (LCM) of 136 and 182 is 12376.
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 182?
First, calculate the GCD of 136 and 182 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 136 ÷ 182 = 0 remainder 136 |
| 2 | 182 ÷ 136 = 1 remainder 46 |
| 3 | 136 ÷ 46 = 2 remainder 44 |
| 4 | 46 ÷ 44 = 1 remainder 2 |
| 5 | 44 ÷ 2 = 22 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 134 and 74 | 4958 |
| 14 and 84 | 84 |
| 24 and 83 | 1992 |
| 78 and 16 | 624 |
| 52 and 51 | 2652 |