Least Common Multiple (LCM) of 145 and 108
The least common multiple (LCM) of 145 and 108 is 15660.
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 108?
First, calculate the GCD of 145 and 108 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 145 ÷ 108 = 1 remainder 37 |
| 2 | 108 ÷ 37 = 2 remainder 34 |
| 3 | 37 ÷ 34 = 1 remainder 3 |
| 4 | 34 ÷ 3 = 11 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 191 and 145 | 27695 |
| 196 and 172 | 8428 |
| 150 and 157 | 23550 |
| 60 and 98 | 2940 |
| 140 and 80 | 560 |