Least Common Multiple (LCM) of 121 and 191
The least common multiple (LCM) of 121 and 191 is 23111.
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 121 and 191?
First, calculate the GCD of 121 and 191 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 121 ÷ 191 = 0 remainder 121 |
| 2 | 191 ÷ 121 = 1 remainder 70 |
| 3 | 121 ÷ 70 = 1 remainder 51 |
| 4 | 70 ÷ 51 = 1 remainder 19 |
| 5 | 51 ÷ 19 = 2 remainder 13 |
| 6 | 19 ÷ 13 = 1 remainder 6 |
| 7 | 13 ÷ 6 = 2 remainder 1 |
| 8 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 87 and 47 | 4089 |
| 139 and 25 | 3475 |
| 191 and 142 | 27122 |
| 69 and 103 | 7107 |
| 109 and 196 | 21364 |