Least Common Multiple (LCM) of 191 and 36
The least common multiple (LCM) of 191 and 36 is 6876.
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 36?
First, calculate the GCD of 191 and 36 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 191 ÷ 36 = 5 remainder 11 |
| 2 | 36 ÷ 11 = 3 remainder 3 |
| 3 | 11 ÷ 3 = 3 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 117 and 145 | 16965 |
| 135 and 48 | 2160 |
| 161 and 127 | 20447 |
| 173 and 152 | 26296 |
| 14 and 186 | 1302 |