Least Common Multiple (LCM) of 160 and 66
The least common multiple (LCM) of 160 and 66 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 66?
First, calculate the GCD of 160 and 66 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 160 ÷ 66 = 2 remainder 28 |
| 2 | 66 ÷ 28 = 2 remainder 10 |
| 3 | 28 ÷ 10 = 2 remainder 8 |
| 4 | 10 ÷ 8 = 1 remainder 2 |
| 5 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 150 and 66 | 1650 |
| 126 and 141 | 5922 |
| 11 and 115 | 1265 |
| 49 and 99 | 4851 |
| 183 and 32 | 5856 |