Least Common Multiple (LCM) of 76 and 191
The least common multiple (LCM) of 76 and 191 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 76 and 191?
First, calculate the GCD of 76 and 191 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 76 ÷ 191 = 0 remainder 76 |
| 2 | 191 ÷ 76 = 2 remainder 39 |
| 3 | 76 ÷ 39 = 1 remainder 37 |
| 4 | 39 ÷ 37 = 1 remainder 2 |
| 5 | 37 ÷ 2 = 18 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 37 and 141 | 5217 |
| 45 and 89 | 4005 |
| 140 and 93 | 13020 |
| 54 and 45 | 270 |
| 167 and 145 | 24215 |