Least Common Multiple (LCM) of 191 and 178
The least common multiple (LCM) of 191 and 178 is 33998.
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 178?
First, calculate the GCD of 191 and 178 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 191 ÷ 178 = 1 remainder 13 |
| 2 | 178 ÷ 13 = 13 remainder 9 |
| 3 | 13 ÷ 9 = 1 remainder 4 |
| 4 | 9 ÷ 4 = 2 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 151 and 123 | 18573 |
| 81 and 161 | 13041 |
| 29 and 170 | 4930 |
| 38 and 139 | 5282 |
| 139 and 147 | 20433 |