Least Common Multiple (LCM) of 163 and 141
The least common multiple (LCM) of 163 and 141 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 163 and 141?
First, calculate the GCD of 163 and 141 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 163 ÷ 141 = 1 remainder 22 |
| 2 | 141 ÷ 22 = 6 remainder 9 |
| 3 | 22 ÷ 9 = 2 remainder 4 |
| 4 | 9 ÷ 4 = 2 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 47 and 162 | 7614 |
| 154 and 76 | 5852 |
| 118 and 63 | 7434 |
| 126 and 167 | 21042 |
| 129 and 125 | 16125 |