Least Common Multiple (LCM) of 161 and 143
The least common multiple (LCM) of 161 and 143 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 161 and 143?
First, calculate the GCD of 161 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 161 ÷ 143 = 1 remainder 18 |
| 2 | 143 ÷ 18 = 7 remainder 17 |
| 3 | 18 ÷ 17 = 1 remainder 1 |
| 4 | 17 ÷ 1 = 17 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 77 and 114 | 8778 |
| 197 and 94 | 18518 |
| 150 and 55 | 1650 |
| 31 and 170 | 5270 |
| 45 and 148 | 6660 |