Least Common Multiple (LCM) of 141 and 163
The least common multiple (LCM) of 141 and 163 is 22983.
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 141 and 163?
First, calculate the GCD of 141 and 163 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 141 ÷ 163 = 0 remainder 141 |
| 2 | 163 ÷ 141 = 1 remainder 22 |
| 3 | 141 ÷ 22 = 6 remainder 9 |
| 4 | 22 ÷ 9 = 2 remainder 4 |
| 5 | 9 ÷ 4 = 2 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 182 and 32 | 2912 |
| 90 and 29 | 2610 |
| 85 and 131 | 11135 |
| 46 and 16 | 368 |
| 91 and 119 | 1547 |