Least Common Multiple (LCM) of 42 and 146
The least common multiple (LCM) of 42 and 146 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 42 and 146?
First, calculate the GCD of 42 and 146 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 42 ÷ 146 = 0 remainder 42 |
| 2 | 146 ÷ 42 = 3 remainder 20 |
| 3 | 42 ÷ 20 = 2 remainder 2 |
| 4 | 20 ÷ 2 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 94 and 128 | 6016 |
| 166 and 84 | 6972 |
| 185 and 51 | 9435 |
| 97 and 86 | 8342 |
| 185 and 130 | 4810 |