Least Common Multiple (LCM) of 143 and 161
The least common multiple (LCM) of 143 and 161 is 23023.
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 143 and 161?
First, calculate the GCD of 143 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 143 ÷ 161 = 0 remainder 143 |
| 2 | 161 ÷ 143 = 1 remainder 18 |
| 3 | 143 ÷ 18 = 7 remainder 17 |
| 4 | 18 ÷ 17 = 1 remainder 1 |
| 5 | 17 ÷ 1 = 17 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 117 and 14 | 1638 |
| 13 and 31 | 403 |
| 170 and 198 | 16830 |
| 157 and 66 | 10362 |
| 173 and 72 | 12456 |