Least Common Multiple (LCM) of 11 and 133
The least common multiple (LCM) of 11 and 133 is 1463.
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 11 and 133?
First, calculate the GCD of 11 and 133 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 11 ÷ 133 = 0 remainder 11 |
| 2 | 133 ÷ 11 = 12 remainder 1 |
| 3 | 11 ÷ 1 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 32 and 93 | 2976 |
| 129 and 173 | 22317 |
| 170 and 78 | 6630 |
| 49 and 42 | 294 |
| 193 and 128 | 24704 |