Least Common Multiple (LCM) of 190 and 60
The least common multiple (LCM) of 190 and 60 is 1140.
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 60?
First, calculate the GCD of 190 and 60 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 190 ÷ 60 = 3 remainder 10 |
| 2 | 60 ÷ 10 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 193 and 163 | 31459 |
| 126 and 188 | 11844 |
| 30 and 12 | 60 |
| 165 and 99 | 495 |
| 125 and 19 | 2375 |