Least Common Multiple (LCM) of 160 and 165
The least common multiple (LCM) of 160 and 165 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 160 and 165?
First, calculate the GCD of 160 and 165 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 160 ÷ 165 = 0 remainder 160 |
| 2 | 165 ÷ 160 = 1 remainder 5 |
| 3 | 160 ÷ 5 = 32 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 170 and 106 | 9010 |
| 18 and 182 | 1638 |
| 200 and 74 | 7400 |
| 52 and 54 | 1404 |
| 139 and 26 | 3614 |