Least Common Multiple (LCM) of 195 and 79
The least common multiple (LCM) of 195 and 79 is 15405.
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 79?
First, calculate the GCD of 195 and 79 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 195 ÷ 79 = 2 remainder 37 |
| 2 | 79 ÷ 37 = 2 remainder 5 |
| 3 | 37 ÷ 5 = 7 remainder 2 |
| 4 | 5 ÷ 2 = 2 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 147 and 186 | 9114 |
| 31 and 123 | 3813 |
| 165 and 58 | 9570 |
| 51 and 59 | 3009 |
| 10 and 60 | 60 |