Least Common Multiple (LCM) of 160 and 133
The least common multiple (LCM) of 160 and 133 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 160 and 133?
First, calculate the GCD of 160 and 133 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 160 ÷ 133 = 1 remainder 27 |
| 2 | 133 ÷ 27 = 4 remainder 25 |
| 3 | 27 ÷ 25 = 1 remainder 2 |
| 4 | 25 ÷ 2 = 12 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 71 and 18 | 1278 |
| 31 and 98 | 3038 |
| 83 and 46 | 3818 |
| 138 and 109 | 15042 |
| 184 and 33 | 6072 |