Least Common Multiple (LCM) of 137 and 181
The least common multiple (LCM) of 137 and 181 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 137 and 181?
First, calculate the GCD of 137 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 137 ÷ 181 = 0 remainder 137 |
| 2 | 181 ÷ 137 = 1 remainder 44 |
| 3 | 137 ÷ 44 = 3 remainder 5 |
| 4 | 44 ÷ 5 = 8 remainder 4 |
| 5 | 5 ÷ 4 = 1 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 62 and 105 | 6510 |
| 48 and 150 | 1200 |
| 180 and 108 | 540 |
| 133 and 54 | 7182 |
| 141 and 131 | 18471 |