Least Common Multiple (LCM) of 163 and 61
The least common multiple (LCM) of 163 and 61 is 9943.
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 61?
First, calculate the GCD of 163 and 61 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 163 ÷ 61 = 2 remainder 41 |
| 2 | 61 ÷ 41 = 1 remainder 20 |
| 3 | 41 ÷ 20 = 2 remainder 1 |
| 4 | 20 ÷ 1 = 20 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 75 and 189 | 4725 |
| 141 and 10 | 1410 |
| 194 and 191 | 37054 |
| 136 and 15 | 2040 |
| 106 and 194 | 10282 |