Least Common Multiple (LCM) of 146 and 54
The least common multiple (LCM) of 146 and 54 is 3942.
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 54?
First, calculate the GCD of 146 and 54 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 146 ÷ 54 = 2 remainder 38 |
| 2 | 54 ÷ 38 = 1 remainder 16 |
| 3 | 38 ÷ 16 = 2 remainder 6 |
| 4 | 16 ÷ 6 = 2 remainder 4 |
| 5 | 6 ÷ 4 = 1 remainder 2 |
| 6 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 141 and 193 | 27213 |
| 149 and 10 | 1490 |
| 49 and 94 | 4606 |
| 186 and 17 | 3162 |
| 119 and 28 | 476 |