Least Common Multiple (LCM) of 191 and 122
The least common multiple (LCM) of 191 and 122 is 23302.
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 122?
First, calculate the GCD of 191 and 122 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 191 ÷ 122 = 1 remainder 69 |
| 2 | 122 ÷ 69 = 1 remainder 53 |
| 3 | 69 ÷ 53 = 1 remainder 16 |
| 4 | 53 ÷ 16 = 3 remainder 5 |
| 5 | 16 ÷ 5 = 3 remainder 1 |
| 6 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 133 and 189 | 3591 |
| 196 and 73 | 14308 |
| 120 and 180 | 360 |
| 147 and 93 | 4557 |
| 103 and 63 | 6489 |