Least Common Multiple (LCM) of 190 and 136
The least common multiple (LCM) of 190 and 136 is 12920.
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 136?
First, calculate the GCD of 190 and 136 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 190 ÷ 136 = 1 remainder 54 |
| 2 | 136 ÷ 54 = 2 remainder 28 |
| 3 | 54 ÷ 28 = 1 remainder 26 |
| 4 | 28 ÷ 26 = 1 remainder 2 |
| 5 | 26 ÷ 2 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 74 and 60 | 2220 |
| 134 and 162 | 10854 |
| 106 and 71 | 7526 |
| 113 and 154 | 17402 |
| 77 and 135 | 10395 |