Least Common Multiple (LCM) of 145 and 165
The least common multiple (LCM) of 145 and 165 is 4785.
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 165?
First, calculate the GCD of 145 and 165 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 145 ÷ 165 = 0 remainder 145 |
| 2 | 165 ÷ 145 = 1 remainder 20 |
| 3 | 145 ÷ 20 = 7 remainder 5 |
| 4 | 20 ÷ 5 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 150 and 128 | 9600 |
| 38 and 176 | 3344 |
| 81 and 107 | 8667 |
| 187 and 11 | 187 |
| 143 and 41 | 5863 |