Least Common Multiple (LCM) of 133 and 90
The least common multiple (LCM) of 133 and 90 is 11970.
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 90?
First, calculate the GCD of 133 and 90 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 133 ÷ 90 = 1 remainder 43 |
| 2 | 90 ÷ 43 = 2 remainder 4 |
| 3 | 43 ÷ 4 = 10 remainder 3 |
| 4 | 4 ÷ 3 = 1 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 10 and 25 | 50 |
| 166 and 18 | 1494 |
| 158 and 198 | 15642 |
| 84 and 94 | 3948 |
| 135 and 139 | 18765 |