Least Common Multiple (LCM) of 141 and 190
The least common multiple (LCM) of 141 and 190 is 26790.
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 141 and 190?
First, calculate the GCD of 141 and 190 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 141 ÷ 190 = 0 remainder 141 |
| 2 | 190 ÷ 141 = 1 remainder 49 |
| 3 | 141 ÷ 49 = 2 remainder 43 |
| 4 | 49 ÷ 43 = 1 remainder 6 |
| 5 | 43 ÷ 6 = 7 remainder 1 |
| 6 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 146 and 193 | 28178 |
| 146 and 45 | 6570 |
| 161 and 158 | 25438 |
| 177 and 37 | 6549 |
| 123 and 140 | 17220 |