Least Common Multiple (LCM) of 146 and 84
The least common multiple (LCM) of 146 and 84 is 6132.
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 84?
First, calculate the GCD of 146 and 84 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 146 ÷ 84 = 1 remainder 62 |
| 2 | 84 ÷ 62 = 1 remainder 22 |
| 3 | 62 ÷ 22 = 2 remainder 18 |
| 4 | 22 ÷ 18 = 1 remainder 4 |
| 5 | 18 ÷ 4 = 4 remainder 2 |
| 6 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 64 and 177 | 11328 |
| 195 and 35 | 1365 |
| 136 and 148 | 5032 |
| 42 and 59 | 2478 |
| 133 and 82 | 10906 |