Least Common Multiple (LCM) of 182 and 141
The least common multiple (LCM) of 182 and 141 is 25662.
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 182 and 141?
First, calculate the GCD of 182 and 141 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 182 ÷ 141 = 1 remainder 41 |
| 2 | 141 ÷ 41 = 3 remainder 18 |
| 3 | 41 ÷ 18 = 2 remainder 5 |
| 4 | 18 ÷ 5 = 3 remainder 3 |
| 5 | 5 ÷ 3 = 1 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 44 and 165 | 660 |
| 174 and 60 | 1740 |
| 58 and 148 | 4292 |
| 144 and 95 | 13680 |
| 117 and 171 | 2223 |