Least Common Multiple (LCM) of 146 and 143
The least common multiple (LCM) of 146 and 143 is 20878.
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 143?
First, calculate the GCD of 146 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 146 ÷ 143 = 1 remainder 3 |
| 2 | 143 ÷ 3 = 47 remainder 2 |
| 3 | 3 ÷ 2 = 1 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 32 and 99 | 3168 |
| 156 and 24 | 312 |
| 133 and 12 | 1596 |
| 186 and 87 | 5394 |
| 198 and 23 | 4554 |