Least Common Multiple (LCM) of 140 and 190
The least common multiple (LCM) of 140 and 190 is 2660.
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 140 and 190?
First, calculate the GCD of 140 and 190 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 140 ÷ 190 = 0 remainder 140 |
| 2 | 190 ÷ 140 = 1 remainder 50 |
| 3 | 140 ÷ 50 = 2 remainder 40 |
| 4 | 50 ÷ 40 = 1 remainder 10 |
| 5 | 40 ÷ 10 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 107 and 168 | 17976 |
| 200 and 138 | 13800 |
| 96 and 94 | 4512 |
| 41 and 198 | 8118 |
| 57 and 109 | 6213 |