Least Common Multiple (LCM) of 146 and 64
The least common multiple (LCM) of 146 and 64 is 4672.
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 64?
First, calculate the GCD of 146 and 64 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 146 ÷ 64 = 2 remainder 18 |
| 2 | 64 ÷ 18 = 3 remainder 10 |
| 3 | 18 ÷ 10 = 1 remainder 8 |
| 4 | 10 ÷ 8 = 1 remainder 2 |
| 5 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 129 and 78 | 3354 |
| 140 and 94 | 6580 |
| 35 and 86 | 3010 |
| 68 and 83 | 5644 |
| 57 and 123 | 2337 |