Least Common Multiple (LCM) of 32 and 133
The least common multiple (LCM) of 32 and 133 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 32 and 133?
First, calculate the GCD of 32 and 133 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 32 ÷ 133 = 0 remainder 32 |
| 2 | 133 ÷ 32 = 4 remainder 5 |
| 3 | 32 ÷ 5 = 6 remainder 2 |
| 4 | 5 ÷ 2 = 2 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 173 and 25 | 4325 |
| 95 and 23 | 2185 |
| 157 and 25 | 3925 |
| 58 and 160 | 4640 |
| 31 and 199 | 6169 |