Least Common Multiple (LCM) of 97 and 195
The least common multiple (LCM) of 97 and 195 is 18915.
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 97 and 195?
First, calculate the GCD of 97 and 195 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 97 ÷ 195 = 0 remainder 97 |
| 2 | 195 ÷ 97 = 2 remainder 1 |
| 3 | 97 ÷ 1 = 97 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 127 and 135 | 17145 |
| 180 and 38 | 3420 |
| 13 and 146 | 1898 |
| 31 and 160 | 4960 |
| 186 and 125 | 23250 |