Least Common Multiple (LCM) of 161 and 160
The least common multiple (LCM) of 161 and 160 is 25760.
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 160?
First, calculate the GCD of 161 and 160 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 161 ÷ 160 = 1 remainder 1 |
| 2 | 160 ÷ 1 = 160 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 38 and 115 | 4370 |
| 25 and 194 | 4850 |
| 160 and 167 | 26720 |
| 80 and 76 | 1520 |
| 189 and 37 | 6993 |