Least Common Multiple (LCM) of 140 and 133
The least common multiple (LCM) of 140 and 133 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 140 and 133?
First, calculate the GCD of 140 and 133 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 140 ÷ 133 = 1 remainder 7 |
| 2 | 133 ÷ 7 = 19 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 129 and 159 | 6837 |
| 172 and 65 | 11180 |
| 100 and 66 | 3300 |
| 98 and 61 | 5978 |
| 15 and 71 | 1065 |