Least Common Multiple (LCM) of 191 and 22
The least common multiple (LCM) of 191 and 22 is 4202.
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 22?
First, calculate the GCD of 191 and 22 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 191 ÷ 22 = 8 remainder 15 |
| 2 | 22 ÷ 15 = 1 remainder 7 |
| 3 | 15 ÷ 7 = 2 remainder 1 |
| 4 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 113 and 94 | 10622 |
| 118 and 103 | 12154 |
| 121 and 66 | 726 |
| 42 and 151 | 6342 |
| 58 and 72 | 2088 |