Least Common Multiple (LCM) of 133 and 32
The least common multiple (LCM) of 133 and 32 is 4256.
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 32?
First, calculate the GCD of 133 and 32 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 133 ÷ 32 = 4 remainder 5 |
| 2 | 32 ÷ 5 = 6 remainder 2 |
| 3 | 5 ÷ 2 = 2 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 140 and 141 | 19740 |
| 131 and 174 | 22794 |
| 16 and 31 | 496 |
| 67 and 37 | 2479 |
| 179 and 179 | 179 |