Least Common Multiple (LCM) of 190 and 69
The least common multiple (LCM) of 190 and 69 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 190 and 69?
First, calculate the GCD of 190 and 69 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 190 ÷ 69 = 2 remainder 52 |
| 2 | 69 ÷ 52 = 1 remainder 17 |
| 3 | 52 ÷ 17 = 3 remainder 1 |
| 4 | 17 ÷ 1 = 17 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 80 and 85 | 1360 |
| 174 and 16 | 1392 |
| 60 and 55 | 660 |
| 31 and 41 | 1271 |
| 67 and 109 | 7303 |