Least Common Multiple (LCM) of 133 and 139
The least common multiple (LCM) of 133 and 139 is 18487.
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 139?
First, calculate the GCD of 133 and 139 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 133 ÷ 139 = 0 remainder 133 |
| 2 | 139 ÷ 133 = 1 remainder 6 |
| 3 | 133 ÷ 6 = 22 remainder 1 |
| 4 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 171 and 21 | 1197 |
| 84 and 57 | 1596 |
| 15 and 17 | 255 |
| 198 and 189 | 4158 |
| 182 and 114 | 10374 |