Least Common Multiple (LCM) of 191 and 60
The least common multiple (LCM) of 191 and 60 is 11460.
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 191 and 60?
First, calculate the GCD of 191 and 60 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 191 ÷ 60 = 3 remainder 11 |
| 2 | 60 ÷ 11 = 5 remainder 5 |
| 3 | 11 ÷ 5 = 2 remainder 1 |
| 4 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 170 and 17 | 170 |
| 161 and 59 | 9499 |
| 78 and 100 | 3900 |
| 91 and 193 | 17563 |
| 179 and 86 | 15394 |