Least Common Multiple (LCM) of 133 and 140
The least common multiple (LCM) of 133 and 140 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 140?
First, calculate the GCD of 133 and 140 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 133 ÷ 140 = 0 remainder 133 |
| 2 | 140 ÷ 133 = 1 remainder 7 |
| 3 | 133 ÷ 7 = 19 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 75 and 112 | 8400 |
| 143 and 86 | 12298 |
| 129 and 116 | 14964 |
| 192 and 149 | 28608 |
| 129 and 85 | 10965 |