Least Common Multiple (LCM) of 195 and 104
The least common multiple (LCM) of 195 and 104 is 1560.
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 195 and 104?
First, calculate the GCD of 195 and 104 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 195 ÷ 104 = 1 remainder 91 |
| 2 | 104 ÷ 91 = 1 remainder 13 |
| 3 | 91 ÷ 13 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 196 and 89 | 17444 |
| 24 and 64 | 192 |
| 77 and 98 | 1078 |
| 82 and 191 | 15662 |
| 104 and 156 | 312 |