Least Common Multiple (LCM) of 33 and 121
The least common multiple (LCM) of 33 and 121 is 363.
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 33 and 121?
First, calculate the GCD of 33 and 121 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 33 ÷ 121 = 0 remainder 33 |
| 2 | 121 ÷ 33 = 3 remainder 22 |
| 3 | 33 ÷ 22 = 1 remainder 11 |
| 4 | 22 ÷ 11 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 195 and 43 | 8385 |
| 21 and 83 | 1743 |
| 123 and 108 | 4428 |
| 135 and 30 | 270 |
| 13 and 33 | 429 |