Least Common Multiple (LCM) of 137 and 136
The least common multiple (LCM) of 137 and 136 is 18632.
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 137 and 136?
First, calculate the GCD of 137 and 136 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 137 ÷ 136 = 1 remainder 1 |
| 2 | 136 ÷ 1 = 136 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 197 and 117 | 23049 |
| 160 and 25 | 800 |
| 159 and 69 | 3657 |
| 105 and 54 | 1890 |
| 137 and 64 | 8768 |