Least Common Multiple (LCM) of 146 and 145
The least common multiple (LCM) of 146 and 145 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 146 and 145?
First, calculate the GCD of 146 and 145 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 146 ÷ 145 = 1 remainder 1 |
| 2 | 145 ÷ 1 = 145 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 153 and 164 | 25092 |
| 38 and 30 | 570 |
| 187 and 113 | 21131 |
| 129 and 36 | 1548 |
| 123 and 197 | 24231 |