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 |
|---|---|
| 109 and 188 | 20492 |
| 153 and 112 | 17136 |
| 117 and 183 | 7137 |
| 12 and 30 | 60 |
| 102 and 193 | 19686 |