Least Common Multiple (LCM) of 136 and 181
The least common multiple (LCM) of 136 and 181 is 24616.
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 181?
First, calculate the GCD of 136 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 136 ÷ 181 = 0 remainder 136 |
| 2 | 181 ÷ 136 = 1 remainder 45 |
| 3 | 136 ÷ 45 = 3 remainder 1 |
| 4 | 45 ÷ 1 = 45 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 114 and 171 | 342 |
| 72 and 120 | 360 |
| 197 and 142 | 27974 |
| 63 and 117 | 819 |
| 182 and 103 | 18746 |