Least Common Multiple (LCM) of 191 and 56
The least common multiple (LCM) of 191 and 56 is 10696.
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 56?
First, calculate the GCD of 191 and 56 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 191 ÷ 56 = 3 remainder 23 |
| 2 | 56 ÷ 23 = 2 remainder 10 |
| 3 | 23 ÷ 10 = 2 remainder 3 |
| 4 | 10 ÷ 3 = 3 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 117 and 13 | 117 |
| 21 and 69 | 483 |
| 25 and 10 | 50 |
| 61 and 87 | 5307 |
| 39 and 15 | 195 |