Least Common Multiple (LCM) of 121 and 163
The least common multiple (LCM) of 121 and 163 is 19723.
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 121 and 163?
First, calculate the GCD of 121 and 163 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 121 ÷ 163 = 0 remainder 121 |
| 2 | 163 ÷ 121 = 1 remainder 42 |
| 3 | 121 ÷ 42 = 2 remainder 37 |
| 4 | 42 ÷ 37 = 1 remainder 5 |
| 5 | 37 ÷ 5 = 7 remainder 2 |
| 6 | 5 ÷ 2 = 2 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 88 and 154 | 616 |
| 54 and 48 | 432 |
| 195 and 15 | 195 |
| 148 and 186 | 13764 |
| 118 and 142 | 8378 |