Least Common Multiple (LCM) of 61 and 190
The least common multiple (LCM) of 61 and 190 is 11590.
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 61 and 190?
First, calculate the GCD of 61 and 190 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 61 ÷ 190 = 0 remainder 61 |
| 2 | 190 ÷ 61 = 3 remainder 7 |
| 3 | 61 ÷ 7 = 8 remainder 5 |
| 4 | 7 ÷ 5 = 1 remainder 2 |
| 5 | 5 ÷ 2 = 2 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 189 and 191 | 36099 |
| 107 and 46 | 4922 |
| 196 and 149 | 29204 |
| 144 and 66 | 1584 |
| 128 and 13 | 1664 |