Least Common Multiple (LCM) of 190 and 106
The least common multiple (LCM) of 190 and 106 is 10070.
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 190 and 106?
First, calculate the GCD of 190 and 106 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 190 ÷ 106 = 1 remainder 84 |
| 2 | 106 ÷ 84 = 1 remainder 22 |
| 3 | 84 ÷ 22 = 3 remainder 18 |
| 4 | 22 ÷ 18 = 1 remainder 4 |
| 5 | 18 ÷ 4 = 4 remainder 2 |
| 6 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 166 and 158 | 13114 |
| 155 and 18 | 2790 |
| 62 and 46 | 1426 |
| 159 and 189 | 10017 |
| 125 and 111 | 13875 |