Least Common Multiple (LCM) of 61 and 181
The least common multiple (LCM) of 61 and 181 is 11041.
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 61 and 181?
First, calculate the GCD of 61 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 61 ÷ 181 = 0 remainder 61 |
| 2 | 181 ÷ 61 = 2 remainder 59 |
| 3 | 61 ÷ 59 = 1 remainder 2 |
| 4 | 59 ÷ 2 = 29 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 67 and 54 | 3618 |
| 125 and 38 | 4750 |
| 70 and 179 | 12530 |
| 98 and 20 | 980 |
| 181 and 126 | 22806 |