Least Common Multiple (LCM) of 133 and 20
The least common multiple (LCM) of 133 and 20 is 2660.
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 20?
First, calculate the GCD of 133 and 20 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 133 ÷ 20 = 6 remainder 13 |
| 2 | 20 ÷ 13 = 1 remainder 7 |
| 3 | 13 ÷ 7 = 1 remainder 6 |
| 4 | 7 ÷ 6 = 1 remainder 1 |
| 5 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 29 and 173 | 5017 |
| 152 and 69 | 10488 |
| 153 and 88 | 13464 |
| 188 and 30 | 2820 |
| 146 and 53 | 7738 |