Least Common Multiple (LCM) of 131 and 33
The least common multiple (LCM) of 131 and 33 is 4323.
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 131 and 33?
First, calculate the GCD of 131 and 33 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 33 = 3 remainder 32 |
| 2 | 33 ÷ 32 = 1 remainder 1 |
| 3 | 32 ÷ 1 = 32 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 188 and 55 | 10340 |
| 80 and 109 | 8720 |
| 130 and 104 | 520 |
| 174 and 29 | 174 |
| 89 and 30 | 2670 |