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 |
|---|---|
| 126 and 86 | 5418 |
| 100 and 106 | 5300 |
| 117 and 177 | 6903 |
| 138 and 145 | 20010 |
| 151 and 105 | 15855 |