Least Common Multiple (LCM) of 191 and 195
The least common multiple (LCM) of 191 and 195 is 37245.
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 195?
First, calculate the GCD of 191 and 195 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 191 ÷ 195 = 0 remainder 191 |
| 2 | 195 ÷ 191 = 1 remainder 4 |
| 3 | 191 ÷ 4 = 47 remainder 3 |
| 4 | 4 ÷ 3 = 1 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 103 and 164 | 16892 |
| 192 and 75 | 4800 |
| 85 and 74 | 6290 |
| 98 and 169 | 16562 |
| 124 and 165 | 20460 |