Least Common Multiple (LCM) of 191 and 88
The least common multiple (LCM) of 191 and 88 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 191 and 88?
First, calculate the GCD of 191 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 191 ÷ 88 = 2 remainder 15 |
| 2 | 88 ÷ 15 = 5 remainder 13 |
| 3 | 15 ÷ 13 = 1 remainder 2 |
| 4 | 13 ÷ 2 = 6 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 192 and 165 | 10560 |
| 41 and 169 | 6929 |
| 112 and 180 | 5040 |
| 23 and 70 | 1610 |
| 113 and 190 | 21470 |