Least Common Multiple (LCM) of 145 and 37
The least common multiple (LCM) of 145 and 37 is 5365.
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 37?
First, calculate the GCD of 145 and 37 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 145 ÷ 37 = 3 remainder 34 |
| 2 | 37 ÷ 34 = 1 remainder 3 |
| 3 | 34 ÷ 3 = 11 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 192 and 18 | 576 |
| 144 and 162 | 1296 |
| 76 and 166 | 6308 |
| 78 and 34 | 1326 |
| 71 and 123 | 8733 |