Least Common Multiple (LCM) of 165 and 160
The least common multiple (LCM) of 165 and 160 is 5280.
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 165 and 160?
First, calculate the GCD of 165 and 160 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 165 ÷ 160 = 1 remainder 5 |
| 2 | 160 ÷ 5 = 32 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 80 and 89 | 7120 |
| 165 and 158 | 26070 |
| 102 and 184 | 9384 |
| 150 and 43 | 6450 |
| 171 and 176 | 30096 |