Least Common Multiple (LCM) of 160 and 161
The least common multiple (LCM) of 160 and 161 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 160 and 161?
First, calculate the GCD of 160 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 160 ÷ 161 = 0 remainder 160 |
| 2 | 161 ÷ 160 = 1 remainder 1 |
| 3 | 160 ÷ 1 = 160 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 100 and 32 | 800 |
| 142 and 153 | 21726 |
| 39 and 36 | 468 |
| 178 and 139 | 24742 |
| 68 and 106 | 3604 |