Least Common Multiple (LCM) of 133 and 15
The least common multiple (LCM) of 133 and 15 is 1995.
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 15?
First, calculate the GCD of 133 and 15 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 133 ÷ 15 = 8 remainder 13 |
| 2 | 15 ÷ 13 = 1 remainder 2 |
| 3 | 13 ÷ 2 = 6 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 71 and 80 | 5680 |
| 54 and 21 | 378 |
| 132 and 92 | 3036 |
| 87 and 191 | 16617 |
| 196 and 17 | 3332 |