Least Common Multiple (LCM) of 195 and 89
The least common multiple (LCM) of 195 and 89 is 17355.
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 89?
First, calculate the GCD of 195 and 89 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 195 ÷ 89 = 2 remainder 17 |
| 2 | 89 ÷ 17 = 5 remainder 4 |
| 3 | 17 ÷ 4 = 4 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 116 and 135 | 15660 |
| 127 and 106 | 13462 |
| 195 and 36 | 2340 |
| 103 and 67 | 6901 |
| 196 and 137 | 26852 |