Least Common Multiple (LCM) of 190 and 172
The least common multiple (LCM) of 190 and 172 is 16340.
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 172?
First, calculate the GCD of 190 and 172 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 190 ÷ 172 = 1 remainder 18 |
| 2 | 172 ÷ 18 = 9 remainder 10 |
| 3 | 18 ÷ 10 = 1 remainder 8 |
| 4 | 10 ÷ 8 = 1 remainder 2 |
| 5 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 17 and 92 | 1564 |
| 71 and 135 | 9585 |
| 200 and 123 | 24600 |
| 122 and 103 | 12566 |
| 158 and 109 | 17222 |