Least Common Multiple (LCM) of 146 and 42
The least common multiple (LCM) of 146 and 42 is 3066.
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 42?
First, calculate the GCD of 146 and 42 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 146 ÷ 42 = 3 remainder 20 |
| 2 | 42 ÷ 20 = 2 remainder 2 |
| 3 | 20 ÷ 2 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 198 and 12 | 396 |
| 182 and 40 | 3640 |
| 146 and 127 | 18542 |
| 108 and 15 | 540 |
| 190 and 10 | 190 |