Least Common Multiple (LCM) of 191 and 156
The least common multiple (LCM) of 191 and 156 is 29796.
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 156?
First, calculate the GCD of 191 and 156 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 191 ÷ 156 = 1 remainder 35 |
| 2 | 156 ÷ 35 = 4 remainder 16 |
| 3 | 35 ÷ 16 = 2 remainder 3 |
| 4 | 16 ÷ 3 = 5 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 19 and 105 | 1995 |
| 80 and 95 | 1520 |
| 152 and 190 | 760 |
| 159 and 123 | 6519 |
| 198 and 185 | 36630 |