Least Common Multiple (LCM) of 190 and 68
The least common multiple (LCM) of 190 and 68 is 6460.
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 68?
First, calculate the GCD of 190 and 68 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 190 ÷ 68 = 2 remainder 54 |
| 2 | 68 ÷ 54 = 1 remainder 14 |
| 3 | 54 ÷ 14 = 3 remainder 12 |
| 4 | 14 ÷ 12 = 1 remainder 2 |
| 5 | 12 ÷ 2 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 80 and 137 | 10960 |
| 26 and 176 | 2288 |
| 47 and 35 | 1645 |
| 54 and 139 | 7506 |
| 121 and 149 | 18029 |