Least Common Multiple (LCM) of 104 and 195
The least common multiple (LCM) of 104 and 195 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 104 and 195?
First, calculate the GCD of 104 and 195 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 104 ÷ 195 = 0 remainder 104 |
| 2 | 195 ÷ 104 = 1 remainder 91 |
| 3 | 104 ÷ 91 = 1 remainder 13 |
| 4 | 91 ÷ 13 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 137 and 22 | 3014 |
| 118 and 29 | 3422 |
| 31 and 121 | 3751 |
| 168 and 178 | 14952 |
| 61 and 104 | 6344 |