Least Common Multiple (LCM) of 39 and 195
The least common multiple (LCM) of 39 and 195 is 195.
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 39 and 195?
First, calculate the GCD of 39 and 195 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 39 ÷ 195 = 0 remainder 39 |
| 2 | 195 ÷ 39 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 170 and 94 | 7990 |
| 182 and 10 | 910 |
| 77 and 107 | 8239 |
| 184 and 106 | 9752 |
| 72 and 131 | 9432 |