Least Common Multiple (LCM) of 133 and 141
The least common multiple (LCM) of 133 and 141 is 18753.
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 141?
First, calculate the GCD of 133 and 141 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 133 ÷ 141 = 0 remainder 133 |
| 2 | 141 ÷ 133 = 1 remainder 8 |
| 3 | 133 ÷ 8 = 16 remainder 5 |
| 4 | 8 ÷ 5 = 1 remainder 3 |
| 5 | 5 ÷ 3 = 1 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 64 and 155 | 9920 |
| 162 and 66 | 1782 |
| 86 and 150 | 6450 |
| 187 and 192 | 35904 |
| 174 and 166 | 14442 |