Least Common Multiple (LCM) of 197 and 120
The least common multiple (LCM) of 197 and 120 is 23640.
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 197 and 120?
First, calculate the GCD of 197 and 120 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 197 ÷ 120 = 1 remainder 77 |
| 2 | 120 ÷ 77 = 1 remainder 43 |
| 3 | 77 ÷ 43 = 1 remainder 34 |
| 4 | 43 ÷ 34 = 1 remainder 9 |
| 5 | 34 ÷ 9 = 3 remainder 7 |
| 6 | 9 ÷ 7 = 1 remainder 2 |
| 7 | 7 ÷ 2 = 3 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 112 and 181 | 20272 |
| 26 and 166 | 2158 |
| 16 and 177 | 2832 |
| 79 and 190 | 15010 |
| 151 and 75 | 11325 |