Least Common Multiple (LCM) of 146 and 190
The least common multiple (LCM) of 146 and 190 is 13870.
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 190?
First, calculate the GCD of 146 and 190 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 146 ÷ 190 = 0 remainder 146 |
| 2 | 190 ÷ 146 = 1 remainder 44 |
| 3 | 146 ÷ 44 = 3 remainder 14 |
| 4 | 44 ÷ 14 = 3 remainder 2 |
| 5 | 14 ÷ 2 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 126 and 171 | 2394 |
| 199 and 73 | 14527 |
| 48 and 132 | 528 |
| 49 and 120 | 5880 |
| 108 and 45 | 540 |