Least Common Multiple (LCM) of 145 and 166
The least common multiple (LCM) of 145 and 166 is 24070.
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 166?
First, calculate the GCD of 145 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 145 ÷ 166 = 0 remainder 145 |
| 2 | 166 ÷ 145 = 1 remainder 21 |
| 3 | 145 ÷ 21 = 6 remainder 19 |
| 4 | 21 ÷ 19 = 1 remainder 2 |
| 5 | 19 ÷ 2 = 9 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 19 and 75 | 1425 |
| 193 and 29 | 5597 |
| 195 and 113 | 22035 |
| 137 and 32 | 4384 |
| 102 and 35 | 3570 |