Least Common Multiple (LCM) of 133 and 121
The least common multiple (LCM) of 133 and 121 is 16093.
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 121?
First, calculate the GCD of 133 and 121 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 133 ÷ 121 = 1 remainder 12 |
| 2 | 121 ÷ 12 = 10 remainder 1 |
| 3 | 12 ÷ 1 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 120 and 56 | 840 |
| 49 and 51 | 2499 |
| 130 and 110 | 1430 |
| 91 and 145 | 13195 |
| 104 and 41 | 4264 |