Least Common Multiple (LCM) of 156 and 191
The least common multiple (LCM) of 156 and 191 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 156 and 191?
First, calculate the GCD of 156 and 191 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 156 ÷ 191 = 0 remainder 156 |
| 2 | 191 ÷ 156 = 1 remainder 35 |
| 3 | 156 ÷ 35 = 4 remainder 16 |
| 4 | 35 ÷ 16 = 2 remainder 3 |
| 5 | 16 ÷ 3 = 5 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 192 and 57 | 3648 |
| 165 and 142 | 23430 |
| 42 and 168 | 168 |
| 130 and 18 | 1170 |
| 95 and 68 | 6460 |