Least Common Multiple (LCM) of 69 and 190
The least common multiple (LCM) of 69 and 190 is 13110.
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 69 and 190?
First, calculate the GCD of 69 and 190 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 69 ÷ 190 = 0 remainder 69 |
| 2 | 190 ÷ 69 = 2 remainder 52 |
| 3 | 69 ÷ 52 = 1 remainder 17 |
| 4 | 52 ÷ 17 = 3 remainder 1 |
| 5 | 17 ÷ 1 = 17 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 50 and 161 | 8050 |
| 35 and 49 | 245 |
| 186 and 126 | 3906 |
| 54 and 36 | 108 |
| 178 and 28 | 2492 |