Least Common Multiple (LCM) of 181 and 146
The least common multiple (LCM) of 181 and 146 is 26426.
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 146?
First, calculate the GCD of 181 and 146 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 181 ÷ 146 = 1 remainder 35 |
| 2 | 146 ÷ 35 = 4 remainder 6 |
| 3 | 35 ÷ 6 = 5 remainder 5 |
| 4 | 6 ÷ 5 = 1 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 117 and 199 | 23283 |
| 105 and 90 | 630 |
| 98 and 120 | 5880 |
| 113 and 181 | 20453 |
| 170 and 56 | 4760 |