Least Common Multiple (LCM) of 145 and 64
The least common multiple (LCM) of 145 and 64 is 9280.
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 145 and 64?
First, calculate the GCD of 145 and 64 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 145 ÷ 64 = 2 remainder 17 |
| 2 | 64 ÷ 17 = 3 remainder 13 |
| 3 | 17 ÷ 13 = 1 remainder 4 |
| 4 | 13 ÷ 4 = 3 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 61 and 198 | 12078 |
| 157 and 47 | 7379 |
| 178 and 182 | 16198 |
| 27 and 20 | 540 |
| 111 and 140 | 15540 |