Least Common Multiple (LCM) of 181 and 140
The least common multiple (LCM) of 181 and 140 is 25340.
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 140?
First, calculate the GCD of 181 and 140 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 181 ÷ 140 = 1 remainder 41 |
| 2 | 140 ÷ 41 = 3 remainder 17 |
| 3 | 41 ÷ 17 = 2 remainder 7 |
| 4 | 17 ÷ 7 = 2 remainder 3 |
| 5 | 7 ÷ 3 = 2 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 132 and 137 | 18084 |
| 189 and 166 | 31374 |
| 109 and 49 | 5341 |
| 90 and 152 | 6840 |
| 142 and 109 | 15478 |