Least Common Multiple (LCM) of 145 and 190
The least common multiple (LCM) of 145 and 190 is 5510.
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 190?
First, calculate the GCD of 145 and 190 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 145 ÷ 190 = 0 remainder 145 |
| 2 | 190 ÷ 145 = 1 remainder 45 |
| 3 | 145 ÷ 45 = 3 remainder 10 |
| 4 | 45 ÷ 10 = 4 remainder 5 |
| 5 | 10 ÷ 5 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 84 and 16 | 336 |
| 131 and 102 | 13362 |
| 34 and 71 | 2414 |
| 139 and 99 | 13761 |
| 60 and 11 | 660 |