Least Common Multiple (LCM) of 191 and 67
The least common multiple (LCM) of 191 and 67 is 12797.
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 67?
First, calculate the GCD of 191 and 67 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 191 ÷ 67 = 2 remainder 57 |
| 2 | 67 ÷ 57 = 1 remainder 10 |
| 3 | 57 ÷ 10 = 5 remainder 7 |
| 4 | 10 ÷ 7 = 1 remainder 3 |
| 5 | 7 ÷ 3 = 2 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 178 and 16 | 1424 |
| 37 and 155 | 5735 |
| 59 and 81 | 4779 |
| 143 and 167 | 23881 |
| 139 and 38 | 5282 |