Least Common Multiple (LCM) of 145 and 146
The least common multiple (LCM) of 145 and 146 is 21170.
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 146?
First, calculate the GCD of 145 and 146 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 145 ÷ 146 = 0 remainder 145 |
| 2 | 146 ÷ 145 = 1 remainder 1 |
| 3 | 145 ÷ 1 = 145 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 183 and 150 | 9150 |
| 105 and 26 | 2730 |
| 11 and 153 | 1683 |
| 120 and 87 | 3480 |
| 182 and 192 | 17472 |