Least Common Multiple (LCM) of 136 and 82
The least common multiple (LCM) of 136 and 82 is 5576.
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 82?
First, calculate the GCD of 136 and 82 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 136 ÷ 82 = 1 remainder 54 |
| 2 | 82 ÷ 54 = 1 remainder 28 |
| 3 | 54 ÷ 28 = 1 remainder 26 |
| 4 | 28 ÷ 26 = 1 remainder 2 |
| 5 | 26 ÷ 2 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 120 and 79 | 9480 |
| 56 and 11 | 616 |
| 180 and 104 | 4680 |
| 37 and 79 | 2923 |
| 113 and 171 | 19323 |