Least Common Multiple (LCM) of 133 and 160
The least common multiple (LCM) of 133 and 160 is 21280.
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 133 and 160?
First, calculate the GCD of 133 and 160 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 133 ÷ 160 = 0 remainder 133 |
| 2 | 160 ÷ 133 = 1 remainder 27 |
| 3 | 133 ÷ 27 = 4 remainder 25 |
| 4 | 27 ÷ 25 = 1 remainder 2 |
| 5 | 25 ÷ 2 = 12 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 107 and 174 | 18618 |
| 101 and 149 | 15049 |
| 163 and 75 | 12225 |
| 132 and 156 | 1716 |
| 149 and 122 | 18178 |