Least Common Multiple (LCM) of 146 and 50
The least common multiple (LCM) of 146 and 50 is 3650.
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 50?
First, calculate the GCD of 146 and 50 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 146 ÷ 50 = 2 remainder 46 |
| 2 | 50 ÷ 46 = 1 remainder 4 |
| 3 | 46 ÷ 4 = 11 remainder 2 |
| 4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 103 and 27 | 2781 |
| 69 and 19 | 1311 |
| 173 and 30 | 5190 |
| 164 and 135 | 22140 |
| 36 and 64 | 576 |