Least Common Multiple (LCM) of 146 and 133
The least common multiple (LCM) of 146 and 133 is 19418.
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 146 and 133?
First, calculate the GCD of 146 and 133 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 146 ÷ 133 = 1 remainder 13 |
| 2 | 133 ÷ 13 = 10 remainder 3 |
| 3 | 13 ÷ 3 = 4 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 17 and 62 | 1054 |
| 143 and 106 | 15158 |
| 23 and 147 | 3381 |
| 26 and 54 | 702 |
| 105 and 180 | 1260 |