Least Common Multiple (LCM) of 146 and 128
The least common multiple (LCM) of 146 and 128 is 9344.
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 128?
First, calculate the GCD of 146 and 128 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 146 ÷ 128 = 1 remainder 18 |
| 2 | 128 ÷ 18 = 7 remainder 2 |
| 3 | 18 ÷ 2 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 81 and 114 | 3078 |
| 124 and 99 | 12276 |
| 106 and 150 | 7950 |
| 188 and 187 | 35156 |
| 172 and 85 | 14620 |