Least Common Multiple (LCM) of 161 and 89
The least common multiple (LCM) of 161 and 89 is 14329.
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 89?
First, calculate the GCD of 161 and 89 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 161 ÷ 89 = 1 remainder 72 |
| 2 | 89 ÷ 72 = 1 remainder 17 |
| 3 | 72 ÷ 17 = 4 remainder 4 |
| 4 | 17 ÷ 4 = 4 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 85 and 134 | 11390 |
| 22 and 118 | 1298 |
| 147 and 151 | 22197 |
| 81 and 117 | 1053 |
| 167 and 67 | 11189 |