Least Common Multiple (LCM) of 191 and 76
The least common multiple (LCM) of 191 and 76 is 14516.
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 76?
First, calculate the GCD of 191 and 76 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 191 ÷ 76 = 2 remainder 39 |
| 2 | 76 ÷ 39 = 1 remainder 37 |
| 3 | 39 ÷ 37 = 1 remainder 2 |
| 4 | 37 ÷ 2 = 18 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 183 and 187 | 34221 |
| 198 and 169 | 33462 |
| 64 and 66 | 2112 |
| 109 and 147 | 16023 |
| 157 and 20 | 3140 |