Least Common Multiple (LCM) of 132 and 160
The least common multiple (LCM) of 132 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 132 and 160?
First, calculate the GCD of 132 and 160 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 132 ÷ 160 = 0 remainder 132 |
| 2 | 160 ÷ 132 = 1 remainder 28 |
| 3 | 132 ÷ 28 = 4 remainder 20 |
| 4 | 28 ÷ 20 = 1 remainder 8 |
| 5 | 20 ÷ 8 = 2 remainder 4 |
| 6 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 126 and 159 | 6678 |
| 20 and 65 | 260 |
| 46 and 145 | 6670 |
| 34 and 100 | 1700 |
| 17 and 100 | 1700 |