Least Common Multiple (LCM) of 190 and 62
The least common multiple (LCM) of 190 and 62 is 5890.
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 62?
First, calculate the GCD of 190 and 62 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 190 ÷ 62 = 3 remainder 4 |
| 2 | 62 ÷ 4 = 15 remainder 2 |
| 3 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 77 and 189 | 2079 |
| 81 and 86 | 6966 |
| 123 and 26 | 3198 |
| 190 and 115 | 4370 |
| 14 and 128 | 896 |