Least Common Multiple (LCM) of 136 and 161
The least common multiple (LCM) of 136 and 161 is 21896.
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 161?
First, calculate the GCD of 136 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 136 ÷ 161 = 0 remainder 136 |
| 2 | 161 ÷ 136 = 1 remainder 25 |
| 3 | 136 ÷ 25 = 5 remainder 11 |
| 4 | 25 ÷ 11 = 2 remainder 3 |
| 5 | 11 ÷ 3 = 3 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 103 and 137 | 14111 |
| 164 and 35 | 5740 |
| 122 and 151 | 18422 |
| 20 and 149 | 2980 |
| 105 and 200 | 4200 |