Least Common Multiple (LCM) of 181 and 137
The least common multiple (LCM) of 181 and 137 is 24797.
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 181 and 137?
First, calculate the GCD of 181 and 137 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 181 ÷ 137 = 1 remainder 44 |
| 2 | 137 ÷ 44 = 3 remainder 5 |
| 3 | 44 ÷ 5 = 8 remainder 4 |
| 4 | 5 ÷ 4 = 1 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 135 and 59 | 7965 |
| 49 and 93 | 4557 |
| 191 and 124 | 23684 |
| 119 and 37 | 4403 |
| 51 and 63 | 1071 |