Least Common Multiple (LCM) of 161 and 96
The least common multiple (LCM) of 161 and 96 is 15456.
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 96?
First, calculate the GCD of 161 and 96 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 161 ÷ 96 = 1 remainder 65 |
| 2 | 96 ÷ 65 = 1 remainder 31 |
| 3 | 65 ÷ 31 = 2 remainder 3 |
| 4 | 31 ÷ 3 = 10 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 15 and 85 | 255 |
| 129 and 50 | 6450 |
| 56 and 182 | 728 |
| 193 and 111 | 21423 |
| 100 and 134 | 6700 |