Least Common Multiple (LCM) of 88 and 191
The least common multiple (LCM) of 88 and 191 is 16808.
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 88 and 191?
First, calculate the GCD of 88 and 191 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 88 ÷ 191 = 0 remainder 88 |
| 2 | 191 ÷ 88 = 2 remainder 15 |
| 3 | 88 ÷ 15 = 5 remainder 13 |
| 4 | 15 ÷ 13 = 1 remainder 2 |
| 5 | 13 ÷ 2 = 6 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 101 and 161 | 16261 |
| 189 and 90 | 1890 |
| 134 and 109 | 14606 |
| 192 and 95 | 18240 |
| 149 and 13 | 1937 |